Dr. Mamta Kapoor

About

I am currently an Associate Professor-Research in the Dept. of Marwadi University-Research Center, Rajkot, Gujarat, India. My research focuses on the numerical approximation of linear and non-linear partial differential equations, as well as the semi-analytical solutions of fractional partial differential equations. I have published 65 Scopus-indexed publications and received the Research Appreciation Award from Lovely Professional University in 2023. My work has been featured in leading journals such as Mathematics and Computers in
Simulation, Journal of Mathematical Chemistry, Ain Shams Engineering Journal, Physica Scripta, Partial Differential Equations in Applied Mathematics, Computers and Mathematics with Applications , Modern Physics Letters B, Heliyon, Nonlinear Engineering, and Results in Optics, among others.

Moreover, I am a detail-oriented and results-driven data science enthusiast with extensive training in data analytics, machine learning, and data visualization. Proficient in using Python, R, Tableau, Power BI, and Microsoft Excel for analyzing and interpreting complex datasets.

Employment

• Marwadi University Associate Professor - Research
  2024 - Present
• Lovely Professional University Associate Professor (Mathematics)
  2022 - 2024
• Lovely Professional University Assistant Professor (Mathematics)
  2017 - 2022
• Lovely Professional University Assistant Professor (Mathematics)
  2016 - 2017

Education

Education history is unavailable.

Projects & Funding

Projects & funding information is unavailable.

Publications (50)

• Numerical study for 1D and 2D hyperbolic diffusion equation with cubic and quartic hyperbolic B-spline DQM with correlation aspect
  Discover Applied Sciences 2026 DOI: 10.1007/s42452-026-08644-8
  +Save
• Numerical simulation of 1D and 2D Burgers' equations via Barycentric differential quadrature method – a statistical significance
  Computers & Mathematics with Applications 2026 DOI: 10.1016/j.camwa.2026.06.009
  +Save
• Dynamical Evolution of Soliton Parameters in the Modified Kawahara Equation via the Collective Variable Technique
  International Journal of Applied and Computational Mathematics 2026 DOI: 10.1007/s40819-026-02097-8
  +Save
• Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM
  Computational Methods for Differential Equations 2026 DOI: 10.22034/cmde.2025.64656.2935
  +Save
• SERIES SOLUTION OF FRACTIONAL-ORDER KUNDU–ECKHAUS EQUATION AND MASSIVE THIRRING MODELS VIA THE LAPLACE HOMOTOPY PERTURBATION METHOD
  Journal of Mathematical Sciences 2026 DOI: 10.1007/s10958-026-08260-2
  +Save
• A novel study for fractional Navier–Stokes and fractional coupled Navier Stoke’s equation via Yang ADM in Caputo–Fabrizio sense
  Partial Differential Equations in Applied Mathematics 2025 DOI: 10.1016/j.padiff.2024.101023
  +Save
• Elzaki residual power series approach for semi-analytic approximation of time-fractional nonlinear equations occurring in magneto-acoustic waves
  Physica Scripta 2025 DOI: 10.1088/1402-4896/ad9d8e
  +Save
• An Analytical Approach for Yang Transform on Fractional-Order Korteweg-de Vries (KdV) Equation
  The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity 2025 DOI: 10.5890/dnc.2025.03.006
  +Save
• A comparative study of numerical simulations via UAT and UAH tension B-splines for coupled Navier–Stokes equation with statistical validation
  Partial Differential Equations in Applied Mathematics 2025 DOI: 10.1016/j.padiff.2025.101127
  +Save
• Implementation of Shehu Adomian Decomposition Method upon Fisher's Equation for Analytical Solution
  The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity 2025 DOI: 10.5890/dnc.2025.06.008
  +Save