Publications (142)

2023

  1. A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms

    Mathematical Methods in the Applied Sciences, Vol. 46, Núm. 5, pp. 5915-5936

  2. 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

  3. A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction–diffusion equations

    Journal of Mathematical Chemistry

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

    Mathematical Methods in the Applied Sciences

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

    Mathematical Methods in the Applied Sciences

  6. Quadratic B-spline collocation method for time dependent singularly perturbed differential-difference equation arising in the modeling of neuronal activity

    Numerical Methods for Partial Differential Equations, Vol. 39, Núm. 3, pp. 1805-1826

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 moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction–diffusion problems with arbitrary small diffusion terms

    Journal of Computational and Applied Mathematics, Vol. 404

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

    Journal of Computational and Applied Mathematics, Vol. 404

  4. A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters

    Journal of Computational and Applied Mathematics, Vol. 405

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

    Journal of Computational and Applied Mathematics, Vol. 404

  6. Computational and Mathematical Methods in Science and Engineering

    Journal of Computational and Applied Mathematics

  7. Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes

    Journal of Mathematical Chemistry, Vol. 60, Núm. 7, pp. 1314-1336

2021

  1. A numerical scheme for a weakly coupled system of singularly perturbed delay differential equations on an adaptive mesh

    Computational and Mathematical Methods, Vol. 3, Núm. 3

  2. Numerical solution of time-fractional singularly perturbed convection–diffusion problems with a delay in time

    Mathematical Methods in the Applied Sciences, Vol. 44, Núm. 4, pp. 3080-3097

2020

  1. A new implicit six-step P-stable method for the numerical solution of Schrödinger equation

    International Journal of Computer Mathematics, Vol. 97, Núm. 4, pp. 802-817

  2. CMMSE: Computational and Mathematical Methods in Science and Engineering

    International Journal of Computer Mathematics

  3. Guest Editor Foreword for CMMSE special issue of Journal of Mathematical Chemistry

    Journal of Mathematical Chemistry

  4. Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

    Applied Numerical Mathematics, Vol. 148, pp. 79-97

2019

  1. A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions

    Journal of Computational and Applied Mathematics, Vol. 354, pp. 551-561