A Haar wavelet operational matrix method for fractional pseudo-parabolic Burgers–Volterra integro-differential equations
Mathematics and Computers in Simulation—peer-reviewed, Scopus/SCI
Dr. Saurabh Kumar
Assistant Professor(Research)•Department of Mathematics
3 years
Teaching Experience
3 years
Total Experience
Ph.D.
Highest Qualification
4+
Published Works
About & Biography
I am a Research Assistant Professor in the Department of Mathematics, working primarily in the area of Fractional Differential Equations (FDE). My work sits at the numerical solution of complex, memory-dependent systems — the kind of phenomena that classical integer-order calculus struggles to capture cleanly. I focus on the theoretical foundations (existence, uniqueness, stability) as well as efficient numerical schemes for such systems.
Education & Qualifications
Doctorate2023
Ph.D.
Mathematics
The LNM Institute of Information and Technology, Jaipur, Rajasthan
Other2018
M.Phil.
Mathematics
Chaudhary Charan Singh University, Meerut, Uttar Pradesh
Masters2016
M.A.
Mathematics
Chaudhary Charan Singh University, Meerut, Uttar Pradesh
Bachelors2014
B.A.
Mathematics
Chaudhary Charan Singh University, Meerut, Uttar Pradesh
Research Specialization & Focus Areas
- Fractional Differential Equations (FDE) — theory and applications
- Numerical methods for fractional-order differential equations
- Ordinary Differential Equations
- Partial Differential Equations
- Numerical Analysis
Scholarly Publications
4 publications
2026
2025
A novel numerical method for solving a two-dimensional variable-order time fractional advection-diffusion problem
Computers and Mathematics with Applications—peer-reviewed, Scopus/SCI
2024
An efficient collocation technique based on operational matrix of fractional-order Lagrange polynomials for solving the space-time fractional-order partial differential equations
Applied Numerical Mathematics—peer-reviewed, Scopus/SCI
2022
An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations
Journal of Applied Mathematics and Computing—peer-reviewed, Scopus/SCI
Honors, Awards & Recognitions
CSIR Junior Research Fellowship (JRF)
2018CSIR
CSIR Junior Research Fellowship (SRF)
2021CSIR, New Delhi