Fourier spectral approximation for generalized time fractional Burgers equation

被引：0
作者：
Li Chen
Shujuan Lü
机构：
[1] Beihang University,School of Mathematical Sciences
来源：
Journal of Applied Mathematics and Computing | 2022年 / 68卷
关键词：
Generalized time fractional Burgers equation; Fourier spectral method; Boundedness; Convergence; 35R11; 65M12; 65M70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a linearized fully discrete scheme is presented to solve the generalized time fractional Burgers equation. The proposed method is on the basis of finite difference method in time and Fourier spectral approximation in space. Based on a temporal-spatial error splitting argument, the boundedness of the solution and convergence of the numerical scheme are proved rigorously without the time step size condition dependent on the spatial mesh size. Numerical examples are given to illustrate the theoretical results.
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页码：3979 / 3997
页数：18
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