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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2020

06-11-2019 | Original Research

Novel numerical method of the fractional cable equation

Authors: Y. Chen, Chang-Ming Chen

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2020

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Abstract

In this article, mainly based on the second order compact approximation of first order derivative, the novel numerical method with second order temporal accuracy and fourth order spatial accuracy is proposed to solve the fractional cable equation. The numerical analysis involving convergence and stability of the novel numerical method subject to strict and detailed discussion. In addition, the numerical experiment strongly support the theoretical analysis results.
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Metadata
Title
Novel numerical method of the fractional cable equation
Authors
Y. Chen
Chang-Ming Chen
Publication date
06-11-2019
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2020
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-019-01302-w

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