21
Publications
1
Projects
0
Patents
2
PhD Guided
2
PhD Ongoing
…
Visitors
Education
- 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
Areas of Interest
- Finite element analysis of partial differential equations
- Numerical Analysis
- Finite difference methods
- Physics Informed Neural Networks
Funded Research Project
- 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
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.
Selected Publications
- K. Charan, O.P. Yadav, B.C. Tewari. "Anisotropic shear-free radiating collapse: exact solutions and numerical validation." The European Physical Journal C , Vol. 86:553, pp. 1-13, May 2026.
- Sanjalee Maheshwari, YD Sharma, OP Yadav, Ankita Bisht “Effect of Inclined Magnetic Field on Thermal Instability of Internally Heated Bi‐Viscous Bingham Nanofluid Layer.” ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 106(4), pp. e70405, April 2026.
- 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.
Activities
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), Department of Mathematics and Sc. Comp., NIT Hamirpur, sponsored by E&ICT Academy, PDPM IIITDM Jabalpur, 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.
Administrative Responsibilities — Current
- Deputy Center Incharge CCMT/CCMN 2025 (Admissions), NIT Hamirpur
- Faculty Incharge (NEP), NIT Hamirpur
- OIC, Examination & Time Table
Administrative Responsibilities — Previous
- 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