A Petrov-Galerkin spectral method for the linearized time fractional KdV equation
A Petrov-Galerkin spectral method for the linearized time fractional KdV equation
复制标题
线性化时间分数KdV方程的Petrov-Galerkin谱法
DOI：
10.1080/00207160.2017.1410544
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发表时间：
2018
影响因子：
1.8
通讯作者：
Sun Tao
中科院分区：
文献类型：
--
作者：
Chen Hu;Sun Tao
在这篇文章中，我们考虑了线性化时间分数阶KdV方程在有界区域上的数值逼近。本文提出了一种全离散格式，它结合了Petrov-Galerkin谱方法的空间离散和Caputo时间导数的L1近似。严格建立了全离散格式的稳定性和收敛性。数值结果证实了理论结果。
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 andL1-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.