Some aspects of the one-dimensional version of the method of fundamental solutions

被引：4

作者：

Smyrlis, YS ^{[1
]}

Karageorghis, A ^{[1
]}

Georgiou, G ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 5-6期

关键词：

method of fundamental solutions; two-point boundary value problems;

D O I：

10.1016/S0898-1221(00)00308-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of fundamental solutions (MFS) is a well-established boundary-type numerical method for the solution of certain two- and three-dimensional elliptic boundary value problems [1,2]. The basic ideas were introduced by Kupradze and Alexidze (see, e.g., [3]), whereas the present form of the MFS was proposed by Mathon and Johnston [4]. The aim of this work is to investigate the one-dimensional analogue of the MFS for the solution of certain two-point boundary Value problems. In particular, the one-dimensional MFS is formulated in the case of linear scalar ordinary differential equations of even degree with constant coefficients. A mathematical justification for the method is provided and various aspects related to its applicability from both an analytical and a numerical standpoint are examined. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：647 / 657

页数：11

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