A fourth-order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation

A fourth-order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation

Abstract In this paper, the coupled space fractional Ginzburg–Landau equations are investigated numerically. A linearized semi-implicit difference scheme is proposed. The scheme is unconditionally stable, fourth-order accurate in space, and second-order accurate in time. The optimal pointwise error...

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Bibliographic Details
Main Authors: Yuan Xu, Jiali Zeng, Shuanggui Hu
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Ginzburg–Landau equation
Fractional Laplacian
Pointwise error estimate
Unconditional stability
Fourth-order convergence
Online Access:http://link.springer.com/article/10.1186/s13662-019-2389-5

Internet

http://link.springer.com/article/10.1186/s13662-019-2389-5

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