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

被引：0
|
作者：
Yuan Xu
Jiali Zeng
Shuanggui Hu
机构：
[1] Central South University,School of Mathematics and Statistics
[2] Central South University,School of Geosciences and Info
来源：
Advances in Difference Equations | / 2019卷
关键词：
Ginzburg–Landau equation; Fractional Laplacian; Pointwise error estimate; Unconditional stability; Fourth-order convergence;
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摘要：
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 estimates, unique solvability, and unconditional stability are obtained. Moreover, Richardson extrapolation is exploited to improve the temporal accuracy to fourth order. Finally, numerical results are presented to confirm the theoretical results.
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