Publications in collaboration with researchers from Indian Institute of Technology BHU (14)

2025

  1. Boundary and interior layer phenomena in coupled multiscale parabolic convection–diffusion interface problems: efficient numerical resolution and analysis

    International Journal of Numerical Methods for Heat and Fluid Flow

  2. Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction–diffusion systems with discontinuous source term

    Journal of Applied Mathematics and Computing

2024

  1. A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems

    Journal of Applied Mathematics and Computing, Vol. 70, Núm. 6, pp. 5645-5668

  2. A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers

    Journal of Applied Mathematics and Computing, Vol. 70, Núm. 2, pp. 1043-1067

  3. An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations

    Computational Methods for Differential Equations, Vol. 12, Núm. 4, pp. 719-740

  4. On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients

    Mathematical Methods in the Applied Sciences, Vol. 47, Núm. 1, pp. 268-296

2023

  1. A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction–diffusion equations exhibiting weak initial singularity

    Journal of Computational and Applied Mathematics, Vol. 434

  2. An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems

    Mathematical Methods in the Applied Sciences, Vol. 46, Núm. 2, pp. 2117-2132

  3. High-order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations

    Mathematical Methods in the Applied Sciences, Vol. 46, Núm. 16, pp. 16521-16541

  4. Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions

    Journal of Applied Mathematics and Computing, Vol. 69, Núm. 2, pp. 2239-2261

2022

  1. A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution

    Mathematics and Computers in Simulation, Vol. 199, pp. 287-306

  2. A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems

    Journal of Computational and Applied Mathematics, Vol. 404

  3. Analysis of a nonlinear singularly perturbed Volterra integro-differential equation

    Journal of Computational and Applied Mathematics, Vol. 404

2021

  1. Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions

    Applied Mathematics and Computation, Vol. 392