Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

被引：31

作者：

Nurmuhammad, A

Muhammad, M

Mori, M ^{[1
]}

Sugihara, M

机构：

[1] Tokyo Denki Univ, Dept Math Sci, Hatoyama, Saitama 3500394, Japan

[2] Nagoya Univ, Grad Sch Engn, Dept Computat Sci & Engn, Nagoya, Aichi 4648603, Japan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 01期

关键词：

double exponential transformation; Sinc-collocation; boundary value problem;

D O I：

10.1016/j.cam.2004.09.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a Sinc-collocation method for the two-point boundary value problem of fourth-order ordinary differential equation incorporated with the double exponential transformation (abbreviated as the DE transformation). By this method a convergence rate O(exp(-cN/log, N)) where N is a parameter representing the number of terms in the Sinc approximation is attained. We compared the result with ones based on the single exponential transformation which made us confirm the high efficiency of the present method. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：32 / 50

页数：19

共 10 条

[1]

Marshall Albert W., 1979, INEQUALITIES THEORY, V143

[2] The double-exponential transformation in numerical analysis [J].