Generalized Jacobi Rational Spectral Method and Its Applications

被引：32

作者：

Guo, Ben-Yu ^{[1
]}

Yi, Yong-Gang ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Sci Comp Key Lab Shanghai Univ, Div Computat Sci,E Inst, Shanghai 200234, Peoples R China

[2] Tianhua Coll, Dept Basic Courses, Shanghai 201805, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 43卷 / 02期

关键词：

Generalized Jacobi rational approximation; Spectral method on the whole line; Applications; APPROXIMATIONS;

D O I：

10.1007/s10915-010-9353-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an orthogonal system on the whole line, induced by the generalized Jacobi functions. Some results on the generalized Jacobi rational approximation are established, which play important roles in the related spectral methods. As examples of applications, the rational spectral schemes are proposed for sine-Gordon, Klein-Gordon and Fisher equations, with the convergence analysis. Numerical results demonstrate their efficiency.

引用

页码：201 / 238

页数：38

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