COMPUTACIÓN CIENTÍFICA
Publications (23) Publications in which a researcher has participated
2025
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Numerical analysis of fourth-order multi-term fractional reaction-diffusion equation arises in chemical reactions
Journal of Mathematical Chemistry, Vol. 63, Núm. 1, pp. 237-266
2024
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A numerical technique for solving singularly perturbed two-point boundary value problems
Computational and Applied Mathematics, Vol. 43, Núm. 6
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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
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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
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An innovative fourth-order numerical scheme with error analysis for Lane-Emden-Fowler type systems
Numerical Algorithms
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NONSTANDARD FINITE DIFFERENCE SCHEMES WITH POSITIVITY PROPERTY WITH APPLICATION TO A MATHEMATICAL MODEL OF HIV INFECTION
Applied and Computational Mathematics, Vol. 23, Núm. 4, pp. 541-557
2023
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A New Hybrid Block Method for Solving First-Order Differential System Models in Applied Sciences and Engineering
Fractal and Fractional, Vol. 7, Núm. 10
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A Pair of Optimized Nyström Methods with Symmetric Hybrid Points for the Numerical Solution of Second-Order Singular Boundary Value Problems
Symmetry, Vol. 15, Núm. 9
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An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation
Journal of Mathematical Chemistry, Vol. 61, Núm. 4, pp. 761-776
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An efficient technique based on Green's function for solving two-point boundary value problems and its convergence analysis
Mathematics and Computers in Simulation, Vol. 210, pp. 408-423
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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
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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 two-step hybrid block method with fourth derivatives for solving third-order boundary value problems
Journal of Computational and Applied Mathematics, Vol. 404
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Development of an Efficient Diagonally Implicit Runge–Kutta–Nyström 5(4) Pair for Special Second Order IVPs
Axioms, Vol. 11, Núm. 10
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Solving second order two-point boundary value problems accurately by a third derivative hybrid block integrator
Applied Mathematics and Computation, Vol. 421
2021
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Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems
Computational and Applied Mathematics, Vol. 40, Núm. 6
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Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions
Applied Mathematics and Computation, Vol. 392
2020
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One-step hybrid block method containing third derivatives and improving strategies for solving bratu's and troesch's problems
Numerical Mathematics, Vol. 13, Núm. 4, pp. 946-972
2019
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A block hybrid integrator for numerically solving fourth-order Initial Value Problems
Applied Mathematics and Computation, Vol. 346, pp. 680-694
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Development of a new Runge-Kutta method and its economical implementation
Computational and Mathematical Methods, Vol. 1, Núm. 2