Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

被引：0
作者：
Li Juan Chen
MingZhu Li
Qiang Xu
机构：
[1] Qingdao University of Technology,School of Science
[2] Harbin Institute of Technology,Department of Mathematics
[3] Shandong Normal University,School of Mathematics and Statistics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Sinc-Galerkin method; Fractional convection–diffusion equation; Convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The time fractional derivative is estimated using the L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{1}$\end{document} formula, and the spatial derivative is discretized by the sinc-Galerkin method. The convergence analysis of this method is investigated in detail. The numerical solution is 2−α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$2-\alpha$\end{document} order accuracy in time and exponential rate of convergence in space. Finally, some numerical examples are given to show the effectiveness of the numerical scheme.
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