Exponentially fitted methods applied to fourth-order boundary value problems

被引：18
|
作者：
Hollevoet, D. [1 ]
Van Daele, M. [1 ]
Berghe, G. Vanden [1 ]
机构：
[1] Univ Ghent, Vakgrp Toegepaste Wiskunde Informat, B-9000 Ghent, Belgium
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 18期
关键词：
Boundary value problems; Exponential fitting; Error term; Frequency evaluation; PLATE DEFLECTION THEORY; FINITE-DIFFERENCE METHODS; MIXED-TYPE INTERPOLATION; NUMERICAL-SOLUTION; CONVERGENCE; EQUATIONS;
D O I：
10.1016/j.cam.2011.05.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fourth-order boundary value problems are solved by means of exponentially fitted methods of different orders. These methods, which depend on a parameter, can be constructed following a six-step flow chart of Ixaru and Vanden Berghe. Special attention is paid to the expression for the error term and to the choice of the parameter in order to make the error as small as possible. Some numerical examples are given to illustrate the practical implementation issues of these methods. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：5380 / 5393
页数：14
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