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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2019

15.03.2018 | Original Research

Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates

verfasst von: Omar Abu Arqub

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2019

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Abstract

In this article, we propose and analyze an efficient computational algorithm for the numerical solutions of singular Fredholm time-fractional partial integrodifferential equations subject to Dirichlet functions type. The algorithm provide appropriate representation of the solutions in infinite series formula with accurately computable structures. By interrupting the n-term of exact solutions, numerical solutions of linear and nonlinear time-fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. Convergence analysis, error estimations, and error bounds under some hypotheses which provide the theoretical basis of the proposed algorithm are also discussed. The dynamical properties of these numerical solutions are discussed and the profiles of several representative numerical solutions are illustrated. Finally, the utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such integrodifferential equations.
Vorheriger Artikel Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection–diffusion problems on Shishkin mesh
Nächster Artikel Wiener index of certain families of hexagonal chains

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Metadaten
Titel
Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates
verfasst von
Omar Abu Arqub
Publikationsdatum
15.03.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2019
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-018-1176-x

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