Crank-Nicolson Legendre spectral approximation for space-fractional Allen-Cahn equation

In this article, we consider spectral methods for solving the initial-boundary value problem of the space fractional-order Allen-Cahn equation. A fully discrete scheme based on the modified Crank-Nicolson scheme in time and the Legendre spectral method in space is established. The existence an...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Wenping Chen, Shujuan Lu, Hu Chen, Haiyu Liu
Format:	Article
Language:	English
Published:	Texas State University 2019-05-01
Subjects:	Space-fractional Allen-Cahn equation Legendre spectral method modified Crank-Nicolson scheme stability convergence
Online Access:	http://ejde.math.txstate.edu/Volumes/2019/76/abstr.html