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

Abstract 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. Numer...

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Bibliographic Details
Main Authors: Jun Zhang, Shimin Lin, Zixin Liu, Fubiao Lin
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2270-6