Jesús
Vigo Aguiar
Publicaciones (149) Publicaciones de Jesús Vigo Aguiar
2024
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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
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An implicit scheme for time-fractional coupled generalized Burgers’ equation
Journal of Mathematical Chemistry
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Numerical analysis of fourth-order multi-term fractional reaction-diffusion equation arises in chemical reactions
Journal of Mathematical Chemistry
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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
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Performance enhancement through portfolio optimization of delayed insider information: An analysis and implementation study
Journal of Computational and Applied Mathematics, Vol. 446
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Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems
Journal of Computational and Applied Mathematics, Vol. 451
2023
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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
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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
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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
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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
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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
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Special Issue “CMMSE 2020” in Mathematical Methods in the Applied Sciences (MMA)
Mathematical Methods in the Applied Sciences
2022
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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
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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
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A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems
Journal of Computational and Applied Mathematics, Vol. 404
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A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters
Journal of Computational and Applied Mathematics, Vol. 405
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Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
Journal of Computational and Applied Mathematics, Vol. 404
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Computational and Mathematical Methods in Science and Engineering
Journal of Computational and Applied Mathematics
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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
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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