Established 199717+ Faculty Members

Mathematics

Structuring Applied Mathematics, Optimization, Cryptography & Computational Logic

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Dr. Saurabh Kumar

Dr. Saurabh Kumar

Assistant Professor(Research)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
01

A Haar wavelet operational matrix method for fractional pseudo-parabolic Burgers–Volterra integro-differential equations

Mathematics and Computers in Simulationpeer-reviewed, Scopus/SCI

2025
02

A novel numerical method for solving a two-dimensional variable-order time fractional advection-diffusion problem

Computers and Mathematics with Applicationspeer-reviewed, Scopus/SCI

2024
03

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 Mathematicspeer-reviewed, Scopus/SCI

2022
04

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 Computingpeer-reviewed, Scopus/SCI

Honors, Awards & Recognitions

  • CSIR Junior Research Fellowship (JRF)

    2018

    CSIR

  • CSIR Junior Research Fellowship (SRF)

    2021

    CSIR, New Delhi