Single and multi-interval Legendre τ-methods in time for parabolic equations

被引：44
|
作者：
Tang, JG
Ma, HP
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
[2] Lingling Coll, Dept Math, Yongzhou Hunan, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2002年 / 17卷 / 04期
关键词：
interval decomposition; parabolic equation; spectral method in time; optimal error estimate;
D O I：
10.1023/A:1016273820035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we take the parabolic equation with periodic boundary conditions as a model to present a spectral method with the Fourier approximation in spatial and single/multi-interval Legendre Petrov-Galerkin method in time. For the single interval spectral method in time, we obtain the optimal error estimate in L-2 -norm. For the multi-interval spectral method in time, the L-2-optimal error estimate is valid in spatial. Numerical results show the efficiency of the methods.
引用
收藏
页码：349 / 367
页数：19
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