{"id":14,"date":"2023-04-09T07:39:10","date_gmt":"2023-04-09T07:39:10","guid":{"rendered":"http:\/\/localhost\/vnit\/physics\/?page_id=14"},"modified":"2024-03-03T15:43:32","modified_gmt":"2024-03-03T15:43:32","slug":"research","status":"publish","type":"page","link":"https:\/\/vnit.ac.in\/basic_science\/maths\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"14\" class=\"elementor elementor-14\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6eb4eed elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6eb4eed\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element 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.elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Research at Mathematics Department<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2cfb860 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2cfb860\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7df9ab1\" data-id=\"7df9ab1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-faf4f57 elementor-widget elementor-widget-elementskit-simple-tab\" data-id=\"faf4f57\" data-element_type=\"widget\" data-widget_type=\"elementskit-simple-tab.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div class=\"ekit-wid-con\" >        <div class=\"elementkit-tab-wraper vertical  elementskit-fitcontent-tab \">\n            <ul class=\"nav nav-tabs elementkit-tab-nav \">\n                                    <li class=\"elementkit-nav-item elementor-repeater-item-65ec634\">\n                        <a class=\"elementkit-nav-link  active show left-pos\" id=\"content-65ec6346adb4e0ccd062-tab\" data-ekit-handler-id=\"ongoing-projects\" data-ekit-toggle=\"tab\" data-target=\"#content-65ec6346adb4e0ccd062\" href=\"#Content-65ec6346adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-65ec6346adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Ongoing Projects<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-441b041\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-441b0416adb4e0ccd062-tab\" data-ekit-handler-id=\"completed-projects\" data-ekit-toggle=\"tab\" data-target=\"#content-441b0416adb4e0ccd062\" href=\"#Content-441b0416adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-441b0416adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Completed Projects<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-cfbd5ac\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-cfbd5ac6adb4e0ccd062-tab\" data-ekit-handler-id=\"publications-journals\" data-ekit-toggle=\"tab\" data-target=\"#content-cfbd5ac6adb4e0ccd062\" href=\"#Content-cfbd5ac6adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-cfbd5ac6adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Publications & Journals<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-7b6bd36\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-7b6bd366adb4e0ccd062-tab\" data-ekit-handler-id=\"patents\" data-ekit-toggle=\"tab\" data-target=\"#content-7b6bd366adb4e0ccd062\" href=\"#Content-7b6bd366adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-7b6bd366adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Patents<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-ea2a2d9\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-ea2a2d96adb4e0ccd062-tab\" data-ekit-handler-id=\"faculty-achievements\" data-ekit-toggle=\"tab\" data-target=\"#content-ea2a2d96adb4e0ccd062\" href=\"#Content-ea2a2d96adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-ea2a2d96adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Faculty Achievements<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-bff6127\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-bff61276adb4e0ccd062-tab\" data-ekit-handler-id=\"short-term-training-program-sttp-\" data-ekit-toggle=\"tab\" data-target=\"#content-bff61276adb4e0ccd062\" href=\"#Content-bff61276adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-bff61276adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Short Term Training Program(STTP)<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-d6574b2\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-d6574b26adb4e0ccd062-tab\" data-ekit-handler-id=\"industry-institute-collaboration\" data-ekit-toggle=\"tab\" data-target=\"#content-d6574b26adb4e0ccd062\" href=\"#Content-d6574b26adb4e0ccd062\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-d6574b26adb4e0ccd062\">\n                            <span class=\" elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Industry Institute Collaboration<\/span>\n                        <\/a>\n                    <\/li>\n                                <\/ul>\n\n            <div class=\"tab-content elementkit-tab-content\">\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-65ec634  active show\" id=\"content-65ec6346adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-65ec6346adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                            <div id=\"footable_parent_621\"\n         class=\" footable_parent ninja_table_wrapper loading_ninja_table wp_table_data_press_parent semantic_ui \">\n                <table data-ninja_table_instance=\"ninja_table_instance_0\" data-footable_id=\"621\" data-filter-delay=\"1000\" aria-label=\"Ongoing research projects\"            id=\"footable_621\"\n           data-unique_identifier=\"ninja_table_unique_id_1302061380_621\"\n           class=\" foo-table ninja_footable foo_table_621 ninja_table_unique_id_1302061380_621 ui table  nt_type_legacy_table selectable striped vertical_centered  footable-paging-right ninja_table_pro\">\n                <colgroup>\n                            <col class=\"ninja_column_0 \">\n                            <col class=\"ninja_column_1 \">\n                            <col class=\"ninja_column_2 \">\n                            <col class=\"ninja_column_3 \">\n                            <col class=\"ninja_column_4 \">\n                            <col class=\"ninja_column_5 \">\n                    <\/colgroup>\n        <thead>\n<tr class=\"footable-header\">\n                                                                                                        <th scope=\"col\"  class=\"ninja_column_0 ninja_clmn_nm_sno \">S.No.<\/th><th scope=\"col\"  class=\"ninja_column_1 ninja_clmn_nm_nameofpi \">Name of PI<\/th><th scope=\"col\"  class=\"ninja_column_2 ninja_clmn_nm_titleoftheproject \">Title of the project<\/th><th scope=\"col\"  class=\"ninja_column_3 ninja_clmn_nm_fundingagency \">Funding Agency<\/th><th scope=\"col\"  class=\"ninja_column_4 ninja_clmn_nm_amount \">Amount<\/th><th scope=\"col\"  class=\"ninja_column_5 ninja_clmn_nm_researchprojectno \">Research Project No<\/th><\/tr>\n<\/thead>\n<tbody>\n\n        <tr data-row_id=\"0\" class=\"ninja_table_row_0 nt_row_id_0\">\n            <td>1<\/td><td>Dr. Pallavi Mahale<\/td><td>Study of simplified form of two-point iterative gradient methods for regularization of nonlinear ill-posed operator equations\u201d<\/td><td>SERB-DST<\/td><td>17,00,000<\/td><td><\/td>        <\/tr>\n            <tr data-row_id=\"1\" class=\"ninja_table_row_1 nt_row_id_1\">\n            <td>2<\/td><td>Dr. G. Naga Raju<\/td><td>High resolution numerical schemefor huperbolic conservation laws and its related problems<\/td><td>SERB-DST<\/td><td>19,50,300<\/td><td><\/td>        <\/tr>\n            <tr data-row_id=\"2\" class=\"ninja_table_row_2 nt_row_id_2\">\n            <td>3<\/td><td>Dr. Pradip Roul<\/td><td>Robust graded and adaptive mesh techniques for fractional convection-reaction-diffusion model in higher dimensions.<\/td><td>NBHM, DAE<\/td><td>15,53,000<\/td><td><\/td>        <\/tr>\n            <tr data-row_id=\"3\" class=\"ninja_table_row_3 nt_row_id_3\">\n            <td>4<\/td><td>Dr. Jyoti Singh<\/td><td>Classification of Forvenius Forms and F-pure threshold<\/td><td>DST(SERB)<\/td><td>6,60,000<\/td><td><\/td>        <\/tr>\n            <tr data-row_id=\"4\" class=\"ninja_table_row_4 nt_row_id_4\">\n            <td>5<\/td><td>Dr. Sourav Pradhan<\/td><td>Analysis of vacation queues with batch-size-dependent service, N-policy and applicationto group screening of blood samples<\/td><td>SERB-DST<\/td><td>6,60,000<\/td><td><\/td>        <\/tr>\n            <tr data-row_id=\"5\" class=\"ninja_table_row_5 nt_row_id_5\">\n            <td>6<\/td><td>Dr. Vijender Nallapu<\/td><td>Development of Fractal Numerical Methods and Application in solving Differential Equations<\/td><td>SERB-DST<\/td><td>6,60,000<\/td><td><\/td>        <\/tr>\n    <\/tbody><!--ninja_tobody_rendering_done-->\n    <\/table>\n    \n    \n    \n<\/div>\n                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-441b041 \" id=\"content-441b0416adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-441b0416adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                            <div id=\"footable_parent_623\"\n         class=\" footable_parent ninja_table_wrapper loading_ninja_table wp_table_data_press_parent semantic_ui \">\n                <table data-ninja_table_instance=\"ninja_table_instance_1\" data-footable_id=\"623\" data-filter-delay=\"1000\" aria-label=\"Completed Research Projects\"            id=\"footable_623\"\n           data-unique_identifier=\"ninja_table_unique_id_1515951360_623\"\n           class=\" foo-table ninja_footable foo_table_623 ninja_table_unique_id_1515951360_623 ui table  nt_type_legacy_table selectable striped vertical_centered  footable-paging-right ninja_table_pro\">\n                <colgroup>\n                            <col class=\"ninja_column_0 \">\n                            <col class=\"ninja_column_1 \">\n                            <col class=\"ninja_column_2 \">\n                            <col class=\"ninja_column_3 \">\n                            <col class=\"ninja_column_4 \">\n                    <\/colgroup>\n        <thead>\n<tr class=\"footable-header\">\n                                                                                        <th scope=\"col\"  class=\"ninja_column_0 ninja_clmn_nm_srno \">Sr. No.<\/th><th scope=\"col\"  class=\"ninja_column_1 ninja_clmn_nm_nameofpi \">Name of PI<\/th><th scope=\"col\"  class=\"ninja_column_2 ninja_clmn_nm_titleoftheproject \">Title of the project<\/th><th scope=\"col\"  class=\"ninja_column_3 ninja_clmn_nm_fundingagency \">Funding Agency<\/th><th scope=\"col\"  class=\"ninja_column_4 ninja_clmn_nm_researchprojectno \">Research Project No<\/th><\/tr>\n<\/thead>\n<tbody>\n\n        <tr data-row_id=\"0\" class=\"ninja_table_row_0 nt_row_id_0\">\n            <td>1<\/td><td>Dr G. P.Singh<\/td><td>Study of general scalar-tensor cosmology with particle creation in viscous fluid<\/td><td>UGC<\/td><td>F23-143\/97 (WRO) dated 30-08-1997<\/td>        <\/tr>\n            <tr data-row_id=\"1\" class=\"ninja_table_row_1 nt_row_id_1\">\n            <td>2<\/td><td>Dr G. P.Singh<\/td><td>The Cosmological Constant: Quest and Constraints<\/td><td>UGC<\/td><td>F23-119\/2000 (WRO) dated 01-12-2000<\/td>        <\/tr>\n            <tr data-row_id=\"2\" class=\"ninja_table_row_2 nt_row_id_2\">\n            <td>3<\/td><td>Dr. P. Pramod Chakravarthy<\/td><td>Numerical methods for solving Singularly Perturbed Differential Difference Equations<\/td><td>Department of Science &amp;Technology\u2019<\/td><td>SR\/S4\/MS:598\/09 Dated &#8211; 01-06-2010<\/td>        <\/tr>\n            <tr data-row_id=\"3\" class=\"ninja_table_row_3 nt_row_id_3\">\n            <td>4<\/td><td>Dr. P. Pramod Chakravarthy<\/td><td>Numerical methods for solving Singularly Perturbed Delay Differential Equations with large delays<\/td><td>Department of Atomic Energy<\/td><td>NBHM\/R.P.37\/2012\/F resh\/1742 Dated -15- 11-2012<\/td>        <\/tr>\n            <tr data-row_id=\"4\" class=\"ninja_table_row_4 nt_row_id_4\">\n            <td>5<\/td><td>Dr. G. Naga Raju<\/td><td>Numerical Methods for Hyperbolic Conservation Laws<\/td><td>NBHM, DAE<\/td><td>No.2\/48(4)\/2014\/- NBHM(R.P.)\/R&amp;D II\/14356 dated 17-11- 2014<\/td>        <\/tr>\n            <tr data-row_id=\"5\" class=\"ninja_table_row_5 nt_row_id_5\">\n            <td>6<\/td><td><\/td><td><\/td><td><\/td><td><\/td>        <\/tr>\n    <\/tbody><!--ninja_tobody_rendering_done-->\n    <\/table>\n    \n    \n    \n<\/div>\n<h5>Consultancy Projects:<\/h5><p><br \/>Dr G. Naga Raju andDr. M. Devakar completed one consultancy project on Location Based Services (LBS), for Persistent Systems Ltd., Nagpur, (Completed in June<br \/>2016), Amount Rs. 56,563\/-.<\/p>                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-cfbd5ac \" id=\"content-cfbd5ac6adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-cfbd5ac6adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                            <div id=\"footable_parent_617\"\n         class=\" footable_parent ninja_table_wrapper loading_ninja_table wp_table_data_press_parent semantic_ui \">\n                <table data-ninja_table_instance=\"ninja_table_instance_2\" data-footable_id=\"617\" data-filter-delay=\"1000\" aria-label=\"papers\"            id=\"footable_617\"\n           data-unique_identifier=\"ninja_table_unique_id_1394162765_617\"\n           class=\" foo-table ninja_footable foo_table_617 ninja_table_unique_id_1394162765_617 ui table  nt_type_legacy_table selectable striped vertical_centered  footable-paging-right ninja_table_pro\">\n                <colgroup>\n                            <col class=\"ninja_column_0 \">\n                            <col class=\"ninja_column_1 \">\n                    <\/colgroup>\n        <thead>\n<tr class=\"footable-header\">\n                                        <th scope=\"col\"  class=\"ninja_column_0 ninja_clmn_nm_srno \">Sr. No.<\/th><th scope=\"col\"  class=\"ninja_column_1 ninja_clmn_nm_paper \">Paper<\/th><\/tr>\n<\/thead>\n<tbody>\n\n        <tr data-row_id=\"0\" class=\"ninja_table_row_0 nt_row_id_0\">\n            <td>1<\/td><td>G. P. Singh, Ashwini Lalke and N. Hulke, Some Bianchi type I dark energy models in Brans-Dicke theory, Pramana: Journal of Physics, 94, 147, October 2020<\/td>        <\/tr>\n            <tr data-row_id=\"1\" class=\"ninja_table_row_1 nt_row_id_1\">\n            <td>2<\/td><td>G. P. Singh, Ashwini Lalke and N. Hulke, Study of particle creation with quadratic equation of state in higher derivative theory, Brazilian Journal of Physics, 50 , 725-743, September 2020.<\/td>        <\/tr>\n            <tr data-row_id=\"2\" class=\"ninja_table_row_2 nt_row_id_2\">\n            <td>3<\/td><td>Shivhare, M., Podila, P.C. &amp; Kumar, D. A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters. J Math Chem 59, 186\u2013215 (2021). https:\/\/doi.org\/10.1007\/s10910-020-01190-7<\/td>        <\/tr>\n            <tr data-row_id=\"3\" class=\"ninja_table_row_3 nt_row_id_3\">\n            <td>4<\/td><td>P. Pramod Chakravarthy, Meenakshi Shivhare, Numerical study of a singularly perturbed two parameter problems on a modified Bakhavalov mesh, Computational Mathematics and Mathematical Physics, 2020, Vol. 60, No. 11, pp. 1778\u20131786. \u00a9 Pleiades Publishing, Ltd., 2020.<\/td>        <\/tr>\n            <tr data-row_id=\"4\" class=\"ninja_table_row_4 nt_row_id_4\">\n            <td>5<\/td><td>Kamalesh Kumar and Pramod Chakravarthy Podila: A new stable finite difference scheme and its error analysis for two\u2010dimensional singularly perturbed convection\u2013diffusion equations, First published: 29 December 2020, https:\/\/doi.org\/10.1002\/num.22732.<\/td>        <\/tr>\n            <tr data-row_id=\"5\" class=\"ninja_table_row_5 nt_row_id_5\">\n            <td>6<\/td><td>Meenakshi Shivhare, P. Pramod Chakravarthy, Higinio Ramos, and Jesus Vigo-Aguiar: Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modelling of neuronal activity, accepted in Numerical Methods for Partial Differential Equations, https:\/\/doi.org\/10.1002\/num.22738<\/td>        <\/tr>\n            <tr data-row_id=\"6\" class=\"ninja_table_row_6 nt_row_id_6\">\n            <td>7<\/td><td>P. Pramod Chakravarthy, Meenakshi Shivhare and Devendra Kumar: \u201cQuadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh\u201d, International Journal of Computer Mathematics. Accepted.<\/td>        <\/tr>\n            <tr data-row_id=\"7\" class=\"ninja_table_row_7 nt_row_id_7\">\n            <td>8<\/td><td>Kamalesh Kumar, Pramod Chakravarthy Podila, Pratibhamoy Das and Higinio Ramos: A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems, accepted in Math Meth Appl Sci. (15-02-2021).<\/td>        <\/tr>\n            <tr data-row_id=\"8\" class=\"ninja_table_row_8 nt_row_id_8\">\n            <td>9<\/td><td>D. Srinivas Reddy, M. Devakar, B. Shankar, Analytical Solutions of Unidirectional Flows of Couple Stress Fluid between Concentric Cylinders through Porous Medium With Slip Boundary Conditions, Solid State Technology, 64 (2), pp. 1418-1437, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"9\" class=\"ninja_table_row_9 nt_row_id_9\">\n            <td>10<\/td><td>Ankush Raje, M. Devakar, Unsteady Magnetohydrodynamic Flow of Two Immiscible Fluids Through a Pipe in Presence of Heat Transfer, Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy; Advances in Intelligent Systems and Computing, 1287, 287-297, 20<\/td>        <\/tr>\n            <tr data-row_id=\"10\" class=\"ninja_table_row_10 nt_row_id_10\">\n            <td>11<\/td><td>G. Naga Raju, Ashlesha A. Bhise: \u201cModified third and fifth order WENO schemes for Inviscid Compressible Flows,\u201d Numerical Algorithms, (2020) DOI: 10.1007\/s11075- 020-01039-9.<\/td>        <\/tr>\n            <tr data-row_id=\"11\" class=\"ninja_table_row_11 nt_row_id_11\">\n            <td>12<\/td><td>Samala Rathan , Naga Raju Gande , Ashlesha A. Bhise: \u201c Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws,\u201d Applied Numerical Mathematics 157 (2020) 255\u2013275.<\/td>        <\/tr>\n            <tr data-row_id=\"12\" class=\"ninja_table_row_12 nt_row_id_12\">\n            <td>13<\/td><td>Naga Raju Gande, Ashlesha A. Bhise: Third-order WENO schemes with kinetic flux vector splitting, Applied Mathematics and Computation, 378 (2020), 125203. doi: 10.1016\/j.amc.2020.125203<\/td>        <\/tr>\n            <tr data-row_id=\"13\" class=\"ninja_table_row_13 nt_row_id_13\">\n            <td>14<\/td><td>H.K. Nashine, R. Arab, P.R. Patle, and D.K. Patel, Best proximity point results via measure of noncompactness and application, Numerical Functional Analysis and Optimization, Accepted in January 2021. DOI : 10.1080\/01630563.2021.1884570.<\/td>        <\/tr>\n            <tr data-row_id=\"14\" class=\"ninja_table_row_14 nt_row_id_14\">\n            <td>15<\/td><td>P. Roul, V.M.K. Prasad Goura, Klaus Kassner, A new higher order computational approach for electro hydrodynamic flow of a fluid in an ion -drag configuration in a circular cylindrical conduit, Applied Numerical Mathematics, 165, 2021, 303-321.<\/td>        <\/tr>\n            <tr data-row_id=\"15\" class=\"ninja_table_row_15 nt_row_id_15\">\n            <td>16<\/td><td>P. Roul, Vikas Rohil, Gilberto Espinosa-Paredes, VMK P. Goura, R. S. Gedam, K. Obaidurrahman, Design and analysis of a numerical method for fractional neutron diffusion equation with delayed neutrons,  Applied Numerical Mathematics, 157, 634-653, 2020.<\/td>        <\/tr>\n            <tr data-row_id=\"16\" class=\"ninja_table_row_16 nt_row_id_16\">\n            <td>17<\/td><td>P. Roul, Vikas Rohil, Gilberto Espinosa-Paredes, K. Obaidurrahman, An efficient numerical method for fractional neutron diffusion equation in the presence of different types of reactivities, Annals of Nuclear Energy, Elsevier, https:\/\/doi.org\/10.1016\/j.anucene.2020.108038.<\/td>        <\/tr>\n            <tr data-row_id=\"17\" class=\"ninja_table_row_17 nt_row_id_17\">\n            <td>18<\/td><td>P. Roul, V.M.K.P. Goura, A high order numerical scheme for solving a class of non-homogeneous time fractional reaction diffusion equation, Numerical Methods for Partial Differential Equations, Wiley, DOI: 10.1002\/num.22594, 2020.<\/td>        <\/tr>\n            <tr data-row_id=\"18\" class=\"ninja_table_row_18 nt_row_id_18\">\n            <td>19<\/td><td>P. Roul, T. Kumari, VMKP Goura, An efficient numerical method based on exponential B-spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions, Mathematical Methods in the Applied Sciences, Wiley, 2020; 1-20, https:\/\/doi.org\/10.1002\/mma.6947.<\/td>        <\/tr>\n            <tr data-row_id=\"19\" class=\"ninja_table_row_19 nt_row_id_19\">\n            <td>20<\/td><td>P. Roul, VMK Prasad Goura: A high-order B-spline collocation scheme for solving a non-homogeneous time-fractional diffusion equation, Mathematical Methods in the Applied Sciences, Willey, DOI: 10.1002\/mma.6760, 2020.<\/td>        <\/tr>\n            <tr data-row_id=\"20\" class=\"ninja_table_row_20 nt_row_id_20\">\n            <td>21<\/td><td>P. Roul, V.M.K.P. Goura, Numerical solution of doubly singular boundary value problems by finite difference method, Computational and Applied Mathematics, Springer, 2020, DOI: 10.1007\/s40314-020- 01344-y.<\/td>        <\/tr>\n            <tr data-row_id=\"21\" class=\"ninja_table_row_21 nt_row_id_21\">\n            <td>22<\/td><td>M. Gabeleh, D.K. Patel, P.R. Patle, Darbo type best proximity point (pair) results using measure of noncompactness with application, Accepted in Fixed Point Theory, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"22\" class=\"ninja_table_row_22 nt_row_id_22\">\n            <td>23<\/td><td>N. Vijender, Shape preserving aspects of bivariate alpha-fractal functions, accepted in Fractals, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"23\" class=\"ninja_table_row_23 nt_row_id_23\">\n            <td>24<\/td><td>N. Vijender, Approximation of complex-valued functions by fractal functions, accepted in Advances in Pure and Applied Mathematics, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"24\" class=\"ninja_table_row_24 nt_row_id_24\">\n            <td>25<\/td><td>D. Vasileios and N. Vijender, Univariable Affine Fractal Interpolation Function, accepted in Theoretical and Mathematical Physics, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"25\" class=\"ninja_table_row_25 nt_row_id_25\">\n            <td>26<\/td><td>Singh, V. P., Kirti Sharma, and Debjani Chakraborty. \u201cSolving the shortest path problem in an imprecise and random environment.\u201d S\u0101dhan\u0101 45.1 (2020): 1-10, Springer.<\/td>        <\/tr>\n            <tr data-row_id=\"26\" class=\"ninja_table_row_26 nt_row_id_26\">\n            <td>27<\/td><td>Singh, Vishnu Pratap. \u201cOn Solving Linguistic Bi-Level Programming Problem Using Dynamic Programming.\u201d International Journal of Fuzzy System Applications (IJFSA) 10.1 (2021): 43-63.<\/td>        <\/tr>\n            <tr data-row_id=\"27\" class=\"ninja_table_row_27 nt_row_id_27\">\n            <td>28<\/td><td>Singh, V. P., and Kirti Sharma. \u201cCapacitated Vehicle Routing Problem with Interval Type-2 Fuzzy Demands.\u201d Advances in Mechanical Engineering. Springer, Singapore, 2021. 83-89.<\/td>        <\/tr>\n            <tr data-row_id=\"28\" class=\"ninja_table_row_28 nt_row_id_28\">\n            <td>29<\/td><td>Sourav Pradhan: \u201cA discrete-time batch transmission channel with random serving capacity under batch size-dependent service: Geo^X\/G^Y_n\/1\u201d, International Journal of Computer Mathematics: Computer System Theory; 5(3), 175-197, 2020<\/td>        <\/tr>\n            <tr data-row_id=\"29\" class=\"ninja_table_row_29 nt_row_id_29\">\n            <td>30<\/td><td>S Pradhan and U C Gupta: \u201cStationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP\/G^{(a,b)}_n\/1\u201d, Communication in Statistics Theory and Methods, doi.org\/10.1080\/03610926.2020.1813304, 2020<\/td>        <\/tr>\n            <tr data-row_id=\"30\" class=\"ninja_table_row_30 nt_row_id_30\">\n            <td>31<\/td><td>N Nandy and S Pradhan: \u201cOn the joint distribution of an infinite-buffer discrete-time batch-size-dependent service queue with single and multiple vacations\u201d, Quality Technology and Quantitative Management, DOI: 10.1080\/16843703.2021.1882655, 2021.<\/td>        <\/tr>\n            <tr data-row_id=\"31\" class=\"ninja_table_row_31 nt_row_id_31\">\n            <td>32<\/td><td>P. Satapathy, T. Raja Sekhar, and D. Zeidan: \u201cCodimension two Lie invariant solutions of the modified Khokhlov-Zabolotskya-Kuznetsov equation\u201d, Math Meth. Appl. Sci. 2020; 1-14, DOI:10.1102\/mma.7078.<\/td>        <\/tr>\n    <\/tbody><!--ninja_tobody_rendering_done-->\n    <\/table>\n    \n    \n    \n<\/div>\n                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-7b6bd36 \" id=\"content-7b6bd366adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-7b6bd366adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                                                    <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-ea2a2d9 \" id=\"content-ea2a2d96adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-ea2a2d96adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                            <div id=\"footable_parent_630\"\n         class=\" footable_parent ninja_table_wrapper loading_ninja_table wp_table_data_press_parent semantic_ui \">\n                <table data-ninja_table_instance=\"ninja_table_instance_3\" data-footable_id=\"630\" data-filter-delay=\"1000\" aria-label=\"Faculty Achievements\"            id=\"footable_630\"\n           data-unique_identifier=\"ninja_table_unique_id_840803211_630\"\n           class=\" foo-table ninja_footable foo_table_630 ninja_table_unique_id_840803211_630 ui table  nt_type_legacy_table selectable striped vertical_centered  footable-paging-right ninja_table_pro\">\n                <colgroup>\n                            <col class=\"ninja_column_0 \">\n                            <col class=\"ninja_column_1 \">\n                            <col class=\"ninja_column_2 \">\n                    <\/colgroup>\n        <thead>\n<tr class=\"footable-header\">\n                                                        <th scope=\"col\"  class=\"ninja_column_0 ninja_clmn_nm_srno \">Sr. No.<\/th><th scope=\"col\"  class=\"ninja_column_1 ninja_clmn_nm_facultyname \">Faculty Name<\/th><th scope=\"col\"  class=\"ninja_column_2 ninja_clmn_nm_achievement \">Achievement<\/th><\/tr>\n<\/thead>\n<tbody>\n\n        <tr data-row_id=\"0\" class=\"ninja_table_row_0 nt_row_id_0\">\n            <td>1<\/td><td>Dr. G. P. Singh<\/td><td>1. Visiting Post-Doctoral Fellow University of Zululand, South Africa, April \u2013 June 1996.<\/td>        <\/tr>\n            <tr data-row_id=\"1\" class=\"ninja_table_row_1 nt_row_id_1\">\n            <td>2<\/td><td><\/td><td>2. Visiting Post-Doctoral Fellow Univ. of Zululand, South Africa, October \u2013 November 1998<\/td>        <\/tr>\n            <tr data-row_id=\"2\" class=\"ninja_table_row_2 nt_row_id_2\">\n            <td>3<\/td><td><\/td><td>3. Associate of Inter-University Centre For Astronomy and Astrophysics (IUCAA), Pune . From July 1, 1997 to June 30, 2009 and August 1, 2017 \u2013 July, 2023.<\/td>        <\/tr>\n            <tr data-row_id=\"3\" class=\"ninja_table_row_3 nt_row_id_3\">\n            <td>4<\/td><td><\/td><td>4. Council member of Indian Mathematical Society (April 2017- March 2020)<\/td>        <\/tr>\n            <tr data-row_id=\"4\" class=\"ninja_table_row_4 nt_row_id_4\">\n            <td>5<\/td><td>Dr. P. Pramod Chakravarthy<\/td><td>Given invited talks in prestigious institutions like IIT Kanpur, IIT Guwahati and in few NITs and Universities.<\/td>        <\/tr>\n            <tr data-row_id=\"5\" class=\"ninja_table_row_5 nt_row_id_5\">\n            <td>6<\/td><td><\/td><td>Visited University of Nevada Las Vegas, USA; University of London, London, UK ; Beijing Computational Science Research Centre, Beijing, China; and Spain for Academic cnferences<\/td>        <\/tr>\n            <tr data-row_id=\"6\" class=\"ninja_table_row_6 nt_row_id_6\">\n            <td>7<\/td><td><\/td><td>Successfully completed 3 Research and Development projects sponsored by Department of Science and Technology and National Board for Higher Mathematics<\/td>        <\/tr>\n            <tr data-row_id=\"7\" class=\"ninja_table_row_7 nt_row_id_7\">\n            <td>8<\/td><td><\/td><td>Chair Person for technical sessions in International conferences<\/td>        <\/tr>\n            <tr data-row_id=\"8\" class=\"ninja_table_row_8 nt_row_id_8\">\n            <td>9<\/td><td><\/td><td>Reviewer for most prestigious international journals like JCAM, AMC etc.<\/td>        <\/tr>\n            <tr data-row_id=\"9\" class=\"ninja_table_row_9 nt_row_id_9\">\n            <td>10<\/td><td><\/td><td>Member Board of studies for some centrally funded institutions.<\/td>        <\/tr>\n            <tr data-row_id=\"10\" class=\"ninja_table_row_10 nt_row_id_10\">\n            <td>11<\/td><td>Dr.M.Devakar<\/td><td>National Eligibility Test (NET) Qualified in 2004<\/td>        <\/tr>\n            <tr data-row_id=\"11\" class=\"ninja_table_row_11 nt_row_id_11\">\n            <td>12<\/td><td><\/td><td>UGC Junior Research Fellow (JRF) during July 2005-June 2007<\/td>        <\/tr>\n            <tr data-row_id=\"12\" class=\"ninja_table_row_12 nt_row_id_12\">\n            <td>13<\/td><td><\/td><td>UGC Senior Research Fellow (SRF) during July 2007-July 2008<\/td>        <\/tr>\n            <tr data-row_id=\"13\" class=\"ninja_table_row_13 nt_row_id_13\">\n            <td>14<\/td><td><\/td><td>Special Rank in State Level Mathematical Olympiad, (A.P.) 2003<\/td>        <\/tr>\n            <tr data-row_id=\"14\" class=\"ninja_table_row_14 nt_row_id_14\">\n            <td>15<\/td><td><\/td><td>Second Rank in M.Sc (Applied Mathematics) at University of Hyderabad<\/td>        <\/tr>\n            <tr data-row_id=\"15\" class=\"ninja_table_row_15 nt_row_id_15\">\n            <td>16<\/td><td><\/td><td>State 64th Rank in Ed-CET 2002 (A.P.) for pursuing Bachelor of Education<\/td>        <\/tr>\n            <tr data-row_id=\"16\" class=\"ninja_table_row_16 nt_row_id_16\">\n            <td>17<\/td><td><\/td><td>College Topper in B.Sc, Government Degree College, Jammikunta (Affiliated to Kakatiya University)<\/td>        <\/tr>\n            <tr data-row_id=\"17\" class=\"ninja_table_row_17 nt_row_id_17\">\n            <td>18<\/td><td>Dr. P. Roul<\/td><td>1. Post-Doctoral Fellow, University of Duisburg-Essen, Germany, June 2009- May 2010.<\/td>        <\/tr>\n            <tr data-row_id=\"18\" class=\"ninja_table_row_18 nt_row_id_18\">\n            <td>19<\/td><td><\/td><td>2. Post-Doctoral Fellow, University of Potsdam, Germany, December 2010- December 2011.<\/td>        <\/tr>\n            <tr data-row_id=\"19\" class=\"ninja_table_row_19 nt_row_id_19\">\n            <td>20<\/td><td><\/td><td>3. Post-Doctoral Fellow, University of Toulouse, France, January 2012-August 2012<\/td>        <\/tr>\n            <tr data-row_id=\"20\" class=\"ninja_table_row_20 nt_row_id_20\">\n            <td>21<\/td><td><\/td><td>4. Selected for Portugal postdoctoral fellowship under the Project\/Research\/Others BPD\/PEST-OE\/MAT\/UI4080\/2011.I could not avail the fellowship.<\/td>        <\/tr>\n            <tr data-row_id=\"21\" class=\"ninja_table_row_21 nt_row_id_21\">\n            <td>22<\/td><td><\/td><td>5. Editor, Mathematical Methods in the Applied Sciences, Wiley, USA, Since February 2021<\/td>        <\/tr>\n            <tr data-row_id=\"22\" class=\"ninja_table_row_22 nt_row_id_22\">\n            <td>23<\/td><td><\/td><td>6. Obtained Graduate Scholarship from German Foundation of Science (DFG) for Ph.D studies at University of Magdeburg, Germany (Nov 2005- June 2009).<\/td>        <\/tr>\n    <\/tbody><!--ninja_tobody_rendering_done-->\n    <\/table>\n    \n    \n    \n<\/div>\n                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-bff6127 \" id=\"content-bff61276adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-bff61276adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                                                    <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-d6574b2 \" id=\"content-d6574b26adb4e0ccd062\" role=\"tabpanel\"\n                         aria-labelledby=\"content-d6574b26adb4e0ccd062-tab\">\n                        <div class=\"animated fadeIn\">\n                                                    <\/div>\n                    <\/div>\n                            <\/div>\n        <\/div>\n    <\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Research at Mathematics Department Ongoing Projects Completed Projects Publications &#038; Journals Patents Faculty Achievements Short Term Training Program(STTP) Industry Institute Collaboration S.No. Name of PI Title of the project Funding Agency Amount Research Project No 1 Dr. P. Pramodod Chakravarthy Numerical methods for solving multi-parameter singularly perturbed boundary value problems NBHM, DAE 12,41,100\/- February 2017. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/pages\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":37,"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/pages\/14\/revisions"}],"predecessor-version":[{"id":1204,"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/pages\/14\/revisions\/1204"}],"wp:attachment":[{"href":"https:\/\/vnit.ac.in\/basic_science\/maths\/wp-json\/wp\/v2\/media?parent=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}