文章基本信息

标题：An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model
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作者：Jun Zhang ; Jun Zhang ; Shimin Lin 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-7
DOI：10.1186/s13662-019-2270-6
出版社：Hindawi Publishing Corporation
摘要：In this work, we study the numerical approximation for the space fractional FitzHugh–Nagumo model. The numerical scheme is based on the Crank–Nicolson (C–N) method in time and Legendre-spectral method in space. In addition, we prove that the numerical scheme is unconditionally stable. Numerical examples are presented to verify validity of the proposed scheme.
关键词：65N15;65N30;FitzHugh;Nagumo model;Space fractional;Unconditionally stable;Legendre-spectral method