A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution

被引：27

作者：

Babolian, E

Hosseini, MM

机构：

[1] Tarbiat Modarres Univ, Dept Math, Tehran, Iran

[2] Univ Teacher Educ, Inst Math, Tehran 15614, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 132卷 / 2-3期

关键词：

spectral methods; boundary value problems; orthogonal polynomials;

D O I：

10.1016/S0096-3003(01)00197-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, there is an attempt to introduce, generally, spectral methods for numerical solution of ordinary differential equations, also, to focus on those problems in which some coefficient functions or solution function is not analytic. Then, by expressing weak and strong aspects of spectral methods to solve this kind of problems, a modified spectral method which is more efficient than other spectral methods is suggested. Furthermore, with providing some examples, the aforementioned cases are dealt with numerically. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：341 / 351

页数：11