A collocation spectral method for two-dimensional Sobolev equations

被引：5
|
作者：
Jin, Shiju [1 ]
Luo, Zhendong [2 ]
机构：
[1] North China Elect Power Univ, Sch Control & Comp Engn, Beijing, Peoples R China
[2] North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
基金：
美国国家科学基金会;
关键词：
Collocation spectral method; Sobolev equation; Existence and stability as well as convergence; Numerical experiment; POD METHOD;
D O I：
10.1186/s13661-018-1004-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence, uniqueness, stability, and convergence of the collocation spectral numerical solutions are discussed. Finally, some numerical experiments are provided to verify the corrections of theoretical results. This implies that the collocation spectral model is very effective for solving the 2D Sobolev equations.
引用
收藏
页数：13
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