Research at Mathematics Department
| 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. |
| 2 | Dr. Pallavi Mahale | Newton type iterative regularization methods for nonlinear ill-posed operator equations | NBHM (DAE) | 13,18,100/- | 2/11/42/2017/ NBHM(R.P.)/ R&DII/534 |
| 3 | Dr. M. Devakar | Studies on the flows of two immiscible incompressible micropolar and viscous fluids | NBHM, DAE | 14,12,160/- | No.2/48(23)/2 014/-R&D II/1083 dated 28-01-2015. |
| 4 | Dr. P. Roul | Numerical methods for a class of singular two- point boundary value problems | DST(SERB) | 16,83,720/- | SB/S4/MS: 877/14 dated 14.10.2015 |
| 5 | Dr. P. Roul | Design, analysis and implementation of numerical methods for doubly singular boundary value problems | NBHM, DAE | 12,16,100/- | 2/48(14)/2016/ NBHM(R.P.)/ R&D II/1460 Dated 21.04.2016 |
| 6 | Dr. P. Roul | Numerical methods for solving fractional differential equations arising in nuclear reactor dynamics | BRNS-DAE | 12,83,150/ | 36(6)/14/29/20 17 BRNS/36203, 2017 |
| 7 | Dr. P. Roul | Higher-order adaptive approaches for nonlinear singular boundary value problems governing electrohydrodynamic flow in a circular cylindrical conduit | SERB-DST | 6, 60, 000/ | MTR/2017/00 0296 |
| 8 | Dr. Deepesh Patel | Existence and uniqueness problems arise in operator equations and inclusions | NBHM, DAE | 1,62,000/- | 02011/27/2017 /R&D- II/11630 |
| 9 | Dr. Jyoti Singh | Study on local cohomology by using theory of D-modules | DST (SERB) | 6,04,000/- | ECR/2017/000 963 Dated : 16/03/2018 |
| 10 | Dr. A. Sathish Kumar | Approximation by generalized Kantorovich type sampling type series | DST (SERB) | 17,06,000/- | 1-6-2018 |
| Sr. No. | Name of PI | Title of the project | Funding Agency | Research Project No |
|---|---|---|---|---|
| 1 | Dr G. P.Singh | Study of general scalar-tensor cosmology with particle creation in viscous fluid | UGC | F23-143/97 (WRO) dated 30-08-1997 |
| 2 | Dr G. P.Singh | The Cosmological Constant: Quest and Constraints | UGC | F23-119/2000 (WRO) dated 01-12-2000 |
| 3 | Dr. P. Pramod Chakravarthy | Numerical methods for solving Singularly Perturbed Differential Difference Equations | Department of Science &Technology’ | SR/S4/MS:598/09 Dated – 01-06-2010 |
| 4 | Dr. P. Pramod Chakravarthy | Numerical methods for solving Singularly Perturbed Delay Differential Equations with large delays | Department of Atomic Energy | NBHM/R.P.37/2012/F resh/1742 Dated -15- 11-2012 |
| 5 | Dr. G. Naga Raju | Numerical Methods for Hyperbolic Conservation Laws | NBHM, DAE | No.2/48(4)/2014/- NBHM(R.P.)/R&D II/14356 dated 17-11- 2014 |
Consultancy Projects:
Dr G. Naga Raju andDr. M. Devakar completed one consultancy project on Location Based Services (LBS), for Persistent Systems Ltd., Nagpur, (Completed in June
2016), Amount Rs. 56,563/-.
| Sr. No. | Paper |
|---|---|
| 1 | 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 |
| 2 | 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. |
| 3 | Shivhare, M., Podila, P.C. & 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, 186–215 (2021). https://doi.org/10.1007/s10910-020-01190-7 |
| 4 | 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. 1778–1786. © Pleiades Publishing, Ltd., 2020. |
| 5 | Kamalesh Kumar and Pramod Chakravarthy Podila: A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations, First published: 29 December 2020, https://doi.org/10.1002/num.22732. |
| 6 | 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 |
| 7 | P. Pramod Chakravarthy, Meenakshi Shivhare and Devendra Kumar: “Quadratic B-spline collocation method for two-parameter singularly perturbed problem on exponentially graded mesh”, International Journal of Computer Mathematics. Accepted. |
| 8 | 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). |
| 9 | 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. |
| 10 | 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 |
| 11 | G. Naga Raju, Ashlesha A. Bhise: “Modified third and fifth order WENO schemes for Inviscid Compressible Flows,” Numerical Algorithms, (2020) DOI: 10.1007/s11075- 020-01039-9. |
| 12 | Samala Rathan , Naga Raju Gande , Ashlesha A. Bhise: “ Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws,” Applied Numerical Mathematics 157 (2020) 255–275. |
| 13 | 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 |
| 14 | 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. |
| 15 | 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. |
| 16 | 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. |
| 17 | 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. |
| 18 | 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. |
| 19 | 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. |
| 20 | 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. |
| 21 | 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. |
| 22 | 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. |
| 23 | N. Vijender, Shape preserving aspects of bivariate alpha-fractal functions, accepted in Fractals, 2021. |
| 24 | N. Vijender, Approximation of complex-valued functions by fractal functions, accepted in Advances in Pure and Applied Mathematics, 2021. |
| 25 | D. Vasileios and N. Vijender, Univariable Affine Fractal Interpolation Function, accepted in Theoretical and Mathematical Physics, 2021. |
| 26 | Singh, V. P., Kirti Sharma, and Debjani Chakraborty. “Solving the shortest path problem in an imprecise and random environment.” Sādhanā 45.1 (2020): 1-10, Springer. |
| 27 | Singh, Vishnu Pratap. “On Solving Linguistic Bi-Level Programming Problem Using Dynamic Programming.” International Journal of Fuzzy System Applications (IJFSA) 10.1 (2021): 43-63. |
| 28 | Singh, V. P., and Kirti Sharma. “Capacitated Vehicle Routing Problem with Interval Type-2 Fuzzy Demands.” Advances in Mechanical Engineering. Springer, Singapore, 2021. 83-89. |
| 29 | Sourav Pradhan: “A discrete-time batch transmission channel with random serving capacity under batch size-dependent service: Geo^X/G^Y_n/1”, International Journal of Computer Mathematics: Computer System Theory; 5(3), 175-197, 2020 |
| 30 | S Pradhan and U C Gupta: “Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/G^{(a,b)}_n/1”, Communication in Statistics Theory and Methods, doi.org/10.1080/03610926.2020.1813304, 2020 |
| 31 | N Nandy and S Pradhan: “On the joint distribution of an infinite-buffer discrete-time batch-size-dependent service queue with single and multiple vacations”, Quality Technology and Quantitative Management, DOI: 10.1080/16843703.2021.1882655, 2021. |
| 32 | P. Satapathy, T. Raja Sekhar, and D. Zeidan: “Codimension two Lie invariant solutions of the modified Khokhlov-Zabolotskya-Kuznetsov equation”, Math Meth. Appl. Sci. 2020; 1-14, DOI:10.1102/mma.7078. |
| Sr. No. | Faculty Name | Achievement |
|---|---|---|
| 1 | Dr. G. P. Singh | 1. Visiting Post-Doctoral Fellow University of Zululand, South Africa, April – June 1996. |
| 2 | 2. Visiting Post-Doctoral Fellow Univ. of Zululand, South Africa, October – November 1998 | |
| 3 | 3. Associate of Inter-University Centre For Astronomy and Astrophysics (IUCAA), Pune . From July 1, 1997 to June 30, 2009 and August 1, 2017 – July, 2023. | |
| 4 | 4. Council member of Indian Mathematical Society (April 2017- March 2020) | |
| 5 | Dr. P. Pramod Chakravarthy | Given invited talks in prestigious institutions like IIT Kanpur, IIT Guwahati and in few NITs and Universities. |
| 6 | Visited University of Nevada Las Vegas, USA; University of London, London, UK ; Beijing Computational Science Research Centre, Beijing, China; and Spain for Academic cnferences | |
| 7 | Successfully completed 3 Research and Development projects sponsored by Department of Science and Technology and National Board for Higher Mathematics | |
| 8 | Chair Person for technical sessions in International conferences | |
| 9 | Reviewer for most prestigious international journals like JCAM, AMC etc. | |
| 10 | Member Board of studies for some centrally funded institutions. | |
| 11 | Dr.M.Devakar | National Eligibility Test (NET) Qualified in 2004 |
| 12 | UGC Junior Research Fellow (JRF) during July 2005-June 2007 | |
| 13 | UGC Senior Research Fellow (SRF) during July 2007-July 2008 | |
| 14 | Special Rank in State Level Mathematical Olympiad, (A.P.) 2003 | |
| 15 | Second Rank in M.Sc (Applied Mathematics) at University of Hyderabad | |
| 16 | State 64th Rank in Ed-CET 2002 (A.P.) for pursuing Bachelor of Education | |
| 17 | College Topper in B.Sc, Government Degree College, Jammikunta (Affiliated to Kakatiya University) | |
| 18 | Dr. P. Roul | 1. Post-Doctoral Fellow, University of Duisburg-Essen, Germany, June 2009- May 2010. |
| 19 | 2. Post-Doctoral Fellow, University of Potsdam, Germany, December 2010- December 2011. | |
| 20 | 3. Post-Doctoral Fellow, University of Toulouse, France, January 2012-August 2012 | |
| 21 | 4. Selected for Portugal postdoctoral fellowship under the Project/Research/Others BPD/PEST-OE/MAT/UI4080/2011.I could not avail the fellowship. | |
| 22 | 5. Editor, Mathematical Methods in the Applied Sciences, Wiley, USA, Since February 2021 | |
| 23 | 6. Obtained Graduate Scholarship from German Foundation of Science (DFG) for Ph.D studies at University of Magdeburg, Germany (Nov 2005- June 2009). |