A Petrov-Galerkin spectral method for the linearized time fractional KdV equation

被引：11
|
作者：
Chen, Hu [1 ]
Sun, Tao [2 ]
机构：
[1] Beijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing, Peoples R China
[2] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2018年 / 95卷 / 6-7期
关键词：
Petrov-Galerkin spectral method; time fractional KdV equation; stability; convergence; fully discrete scheme; FINITE-ELEMENT-METHOD; DIFFERENTIAL-EQUATIONS; DIFFUSION EQUATION; 3RD; APPROXIMATION; SCHEME;
D O I：
10.1080/00207160.2017.1410544
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we consider the numerical approximation of a linearized time fractional KdV equation in a bounded domain. A fully discrete scheme combining a Petrov-Galerkin spectral method for the spatial discretization and L1-approximation for the Caputo temporal derivative is proposed. Stability and convergence of the fully discrete scheme are rigourously established. Numerical results are presented to confirm the theoretical results.
引用
收藏
页码：1292 / 1307
页数：16
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