Dr. Om Prakash Yadav

Assistant Professor,

Department of Mathematics & Scientific Computing

National Institute of Technology Hamirpur (H.P.)

Email: opyadav@nith.ac.in

Dr. Om Prakash Yadav

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

Teaching

Courses Taught

Ongoing Teaching

Research

Area of Interest

Ph.D. Supervision

M.Sc. Project Supervision

  1. Deb Kumar Bhakat (23MMA018), Numerical Approximation of the One-Dimensional Burgers'-Fisher Equation Using Finite Element Method, 2025.
  2. Sakshi (23MMA006), Numerical Approximation of the One-Dimensional Fisher Equation Using Finite Element Method, 2025.
  3. Vinay (23MMA019), Numerical Approximation of the One-Dimensional Burgers Equation Using Finite Element Method, 2025.

B.Tech. Project Supervision

  1. 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.
  2. Yachna Arora (21BMA008), Gaganpreet Kaur (21BMA032), Komal (21BMA035), Multi-Object Detection and Motion Tracking for Assistive Technology, 2025.

Workshops Conducted

Faculty Development Programs Conducted

Conferences Conducted

Workshops Attended

Conferences Attended

Expert Lectures Delivered

Publications

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. O.P. Yadav, R. Jiwari. “Some soliton-type analytical solutions and numerical simulation of nonlinear Schrödinger equation.” Nonlinear Dynamics, 95, 2825–2836, 2019.
  18. 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.
  19. 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

Previous Assignments

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