An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model

被引：0
|
作者：
Jun Zhang
Shimin Lin
Zixin Liu
Fubiao Lin
机构：
[1] Guizhou University of Finance and Economics,Computational Mathematics Research Center
[2] Jimei University,Department of Science
[3] Guizhou University of Finance and Econmics,School of Mathematics and Statistical
来源：
Advances in Difference Equations | / 2019卷
关键词：
FitzHugh–Nagumo model; Space fractional; Unconditionally stable; Legendre-spectral method; 65N15; 65N30;
D O I：
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学科分类号：
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.
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