Overview
We work in applied mathematics, focusing on the numerical analysis of partial differential equations, with particular emphasis on finite element and finite difference methods. Our interests include reaction–diffusion models, higher-order numerical schemes, and, more recently, the exploration of physics-informed neural networks (PINNs) for scientific computing applications.
Academic
- B.Sc. from University of Allahabad (2009).
- M.Sc. from IIT Kanpur (2011).
- Ph.D. from IIT Roorkee (2019).
Teaching
Courses Taught
- MA-211: Discrete Mathematics
- MA-322: Advanced Differential Equations
- MA-203: Numerical Methods
- MA-724: Applied Linear Algebra
- MA-814: Research Methodology
- MA-815: Research and Publication Ethics
- MA-611: Real Analysis
- MA-321: Real and Complex Analysis
- MA-741: Numerical Methods of Differential Equations
- MA-212: Discrete Mathematics
- MA-242: Mathematical Modeling and Simulation
- MA-211: Numerical Methods & Computation
Ongoing Teaching
- MA-733: Finite Element Method (Syllabus)
- MA-242: Mathematical Modeling and Simulation (Syllabus)
Research
Area of Interest
- Finite element analysis of partial differential equations
- Numerical Analysis
- Finite difference methods
- Physics Informed Neural Networks
Ph.D. Supervision
- Ms. Sanjalee (2K19-PhD-Math-493), Co-supervisor — Awarded. Title: Problems on onset of convection and heat transfer in the Suspension of Nanofluids.
- Ms. Anisha Devi (2K20-Ph.D.-Math-519) — Awarded. Title: Higher Order Finite Element Analysis and Approximations of Nonlinear Reaction-Diffusion Equations.
- Mr. Rohit Sharma (22RMA004) — Ongoing since 2022. Title: Mixed Finite Element Methods for Time Dependent Fourth Order Problems.
- Mr. Abhishek Latwal (25RMA003) — Ongoing since 2025.
M.Sc. Project Supervision
- Deb Kumar Bhakat (23MMA018), Numerical Approximation of the One-Dimensional Burgers'-Fisher Equation Using Finite Element Method, 2025.
- Sakshi (23MMA006), Numerical Approximation of the One-Dimensional Fisher Equation Using Finite Element Method, 2025.
- Vinay (23MMA019), Numerical Approximation of the One-Dimensional Burgers Equation Using Finite Element Method, 2025.
B.Tech. Project Supervision
- Arman Shukla (21BMA009), Mrigesh Thakur (21BMA010), Maanas Sood (21BMA013), Dharuva Thakur (21BMA016), Adaptive Strategy Selection Framework Using Hidden Markov Models for Market Regime Detection, 2025.
- Yachna Arora (21BMA008), Gaganpreet Kaur (21BMA032), Komal (21BMA035), Multi-Object Detection and Motion Tracking for Assistive Technology, 2025.
Workshops Conducted
- 2nd Workshop on Applications of MATLAB in Engineering and Science, NIT Hamirpur, 15–19 December 2021.
- e-Workshop on Applications of Financial Mathematics in Stock Market, NIT Hamirpur, 25–29 May 2022.
Faculty Development Programs Conducted
- Unified Approaches to Solving Differential Equations: From Classical Methods to Neural Networks (UniSDE-2025), Conducted by Department of Mathematics and Sc. Comp., NIT Hamirpur, Sponsored by E&ICT Academy, PDPM IIITDM Jabalpur, during December 08–19, 2025
Conferences Conducted
- 4th International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO 2024), NIT Hamirpur, 17–19 October 2024.
Workshops Attended
- Indo-French Workshop on Innovative Numerical Methods, Department of Mathematics, IIT Roorkee, January 06–10, 2025.
Conferences Attended
- 15th Conference on Dynamical Systems Applied to Biology and Natural Sciences (DSABNS 2024), NOVA FCT, Universidade NOVA de Lisboa, Portugal, February 5–9, 2024.
Expert Lectures Delivered
- Solutions of Some Differential Equations by Finite Element Method, FDP on Recent Techniques for the Solutions of Nonlinear Differential Equations, JIIT Noida, 23–28 August 2021.
- The basics of MATLAB and its applications in data analysis, e-STC (Dept. of Management, NIT Hamirpur), 15–19 January 2024.
- Research and Publication Ethics, e-STC on Statistical Analysis in Research (Dept. of Management, NIT Hamirpur), 24–28 July 2023.
Publications
- Anisha Devi, O.P. Yadav. “A numerical study of the generalized FitzHugh-Nagumo equation using a higher order Galerkin finite element method.” Computational Mathematics and Mathematical Physics, Vol. 65, pp. 629–648, April 2025.
- R. Sharma, O.P. Yadav. “The Evolution of Finite Element Approaches in Reaction-Diffusion Modeling.” Archives of Computational Methods in Engineering, Vol. 32, pp. 2745–2766, January 2025.
- Sanjalee Maheshwari, Y.D. Sharma, O.P. Yadav, Ankita Bisht. “Weak nonlinear thermo bioconvection: Heat transfer via artificial neural network.” International Communications in Heat and Mass Transfer, Vol. 159, 108090, December 2024.
- Anisha Devi, O.P. Yadav. “Analysis and Simulation of the (2+1)-Dimensional Fisher’s Reaction-Diffusion Equation with Higher Order Finite Element Method.” Numerical Heat Transfer, Part B: Fundamentals, 1–25, June 2024.
- Anisha Devi, O.P. Yadav. “Higher Order Galerkin Finite Element Method for (1+2)-Dimensional Generalized Benjamin-Bona-Mahony-Burgers Equation: A Numerical Investigation.” Wave Motion, Vol. 128, 103321, March 2024.
- Anisha Devi, O.P. Yadav. “Higher-Order Galerkin Finite Element Method for Nonlinear Coupled Reaction-Diffusion Models.” Numerical Heat Transfer, Part B: Fundamentals, 1–25, March 2024.
- Sanjalee, Y.D. Sharma, O.P. Yadav. “Unsteady Double-Diffusive Brinkman-Bènard Convection in Cylindrical Enclosure Saturated with Hybrid Bi-Viscous Bingham Nanoliquid.” European Journal of Mechanics-B/Fluids, Vol. 105, pp. 138–150, May 2024.
- Sanjalee, YD Sharma, OP Yadav. “Convective instability of Blood-based Au−Fe3O4 hybrid nanoliquid under the presence of magnetic field with internal heat source: Application to cancer treatment.” Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), Vol. 103(12), e202200518, July 2023. DOI
- Sanjalee, YD Sharma, OP Yadav. “Study of Thermal Convection in Chemically Reactive Carbon Nanotube Suspension Saturated in Anisotropic Porous Enclosure.” International Journal of Modern Physics B, Vol. 37(25), 2350297, July 2023.
- Sanjalee, YD Sharma, OP Yadav. “The linear and non-linear study of effect of rotation and internal heat source/sink on Bènard convection.” Fluid Dynamics Research, 55(4), 045503, July 2023.
- Sanjalee, YD Sharma, OP Yadav. “Study of Heat Transfer in Anisotropic Porous Enclosures Saturated with Casson Fluid Based Carbon Nanotube Suspension.” Journal of Porous Media, 26(10), 85–107, May 2023.
- Sanjalee, YD Sharma, OP Yadav. “Regular and chaotic Rayleigh Bénard convection in hybrid Casson nanoliquid under the effect of non-uniform heat source.” Chinese Journal of Physics, 83, 28–50, Feb 2023.
- Sanjalee, YD Sharma, OP Yadav. “Entropy Generation in Magnetohydrodynamics Flow of Hybrid Casson Nanofluid in Porous Channel: Lie Group Analysis.” International Journal of Applied and Computational Mathematics, 8(5), 1–28, September 2022.
- Sanjalee, YD Sharma, OP Yadav. “Stability analysis of double diffusive thermo-bioconvection in aerobic-microorganism-suspended Casson nanofluid.” The European Physical Journal Plus, 137, 1–13, June 2022.
- K. Charan, O.P. Yadav, B.C. Tewari. “Charged anisotropic spherical collapse with heat flow.” The European Physical Journal C, 81, 1–11, Jan 2021.
- O.P. Yadav, R. Jiwari. “A finite element approach for analysis and computational modelling of coupled reaction diffusion models.” Numerical Methods for Partial Differential Equations, 35(2), 830–850, 2019.
- O.P. Yadav, R. Jiwari. “Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation.” Nonlinear Dynamics, 95, 2825–2836, 2019.
- O.P. Yadav, R. Jiwari. “A finite element approach to capture Turing patterns of autocatalytic Brusselator model.” Journal of Mathematical Chemistry, 57, 769–789, 2019.
- O.P. Yadav, R. Jiwari. “Finite element analysis and approximation of Burgers’-Fisher equation.” Numerical Methods for Partial Differential Equations, 33(5), 1652–1677, 2017.
Projects
Funded Research Project (Ongoing)
Title:
Study of Reaction–Diffusion Equations Using Higher-Order FEM and PINNs with Applications to Lithology and Mountain Instability
Funding Agency: Anusandhan National Research Foundation (ANRF), Government of India
Scheme: ARG-MATRICS
Role: Principal Investigator
Duration: 5 years
Total Grant: ₹30.00 Lakhs
Administration
Current Assignments
- Deputy Center Incharge CCMT/CCMN 2025 (Admissions), NIT Hamirpur
- Faculty Incharge (NEP), NIT Hamirpur
- OIC, Examination & Time Table
Previous Assignments
- Convener, Departmental Bachelor Programme Committee, DoMSC, NIT Hamirpur
- Deputy Center Incharge CCMT/CCMN 2024 (Admissions), NIT Hamirpur
- ANO NIRF, NIT Hamirpur
- AFI Purchase, NIT Hamirpur
- AFI Technical Activities, NIT Hamirpur
- Convener, Departmental Doctoral Programme Committee, DoMSC, NIT Hamirpur
- Member Secretary, Doctoral Students Selection Committee, DoMSC, NIT Hamirpur
- OIC Registration, Lab and Classrooms, Library, DoMSC, NIT Hamirpur
Contact
- Department: Department of Mathematics & Scientific Computing, NIT Hamirpur - 177005
- Phone: 01972-254108
- Email: opyadav@nith.ac.in