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Journal of Applied Mathematics and Computing

Erschienen in:

07.05.2019 | Original Research

A numerical method for a time-fractional advection–dispersion equation with a nonlinear source term

verfasst von: Carlos E. Mejía, Alejandro Piedrahita

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

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Abstract

In this paper we propose an implicit finite-difference scheme to approximate the solution of an initial-boundary value problem for a time-fractional advection–dispersion equation with variable coefficients and a nonlinear source term. The time fractional derivative is taken in the sense of Caputo. The method is unconditionally stable and convergent. Some numerical examples are included and the results confirm the theoretical analysis. One of the examples is the fractional Fisher equation of mathematical biology.

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Nächster Artikel Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger–Poisson system with potential vanishing at infinity

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Titel: A numerical method for a time-fractional advection–dispersion equation with a nonlinear source term
verfasst von: Carlos E. Mejía
Alejandro Piedrahita
Publikationsdatum: 07.05.2019
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/s12190-019-01266-x

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