Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains

被引：7
|
作者：
Ren, Yanmin [1 ]
Yu, Xuhong [1 ]
Wang, Zhongqing [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Sch Sci, Shanghai 200093, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2019年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Chebyshev rational spectral methods; Sobolev bi-orthogonal functions; second-order elliptic equations; numerical results; PARTIAL-DIFFERENTIAL-EQUATIONS; GENERALIZED LAGUERRE FUNCTIONS; GALERKIN METHOD; APPROXIMATION;
D O I：
10.4208/nmtma.OA-2018-0022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Diagonalized Chebyshev rational spectral methods for solving second-order elliptic problems on the half/whole line are proposed. Some Sobolev bi-orthogonal rational basis functions are constructed which lead to the diagonalization of discrete systems. Accordingly, both the exact solutions and the approximate solutions can be represented as infinite and truncated Fourier-like Chebyshev rational series. Numerical results demonstrate the effectiveness of the suggested approaches.
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页码：265 / 284
页数：20
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