Publicaciones (150) Publicaciones de Jesús Vigo Aguiar

2024

  1. A Robust and higher order numerical technique for a time-fractional equation with nonlocal condition

    Journal of Mathematical Chemistry

  2. A parameter-uniform hybrid scheme designed for multi-point boundary value problems that are perturbed

    Journal of Mathematical Chemistry, Vol. 62, Núm. 8, pp. 1982-2006

  3. An implicit scheme for time-fractional coupled generalized Burgers’ equation

    Journal of Mathematical Chemistry

  4. Numerical analysis of fourth-order multi-term fractional reaction-diffusion equation arises in chemical reactions

    Journal of Mathematical Chemistry

  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, Vol. 47, Núm. 1, pp. 268-296

  6. Performance enhancement through portfolio optimization of delayed insider information: An analysis and implementation study

    Journal of Computational and Applied Mathematics, Vol. 446

  7. Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems

    Journal of Computational and Applied Mathematics, Vol. 451

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, Vol. 61, Núm. 6, pp. 1313-1350

  4. 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

  5. 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

  6. Special Issue “CMMSE 2020” in Mathematical Methods in the Applied Sciences (MMA)

    Mathematical Methods in the Applied Sciences

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