The optimal exponentially-fitted Numerov method for solving two-point boundary value problems

被引：83

作者：

Hollevoet, D. ^{[1
]}

Van Daele, M. ^{[1
]}

Vanden Berghe, G. ^{[1
]}

机构：

[1] Univ Ghent, Vakgrp Toegepaste Wiskunde & Informat, B-9000 Ghent, Belgium

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 01期

关键词：

Numerov methods; Boundary value problems; Exponential fitting; Error term; Parameter selection;

D O I：

10.1016/j.cam.2008.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Second order boundary value problems are solved by means of exponentially-fitted Numerov methods. These methods, which depend on a parameter, can be constructed following a six-step flow chart of Ixaru and Vanden Berghe [LGr. Ixaru, G. Vanden Berghe, Exponential Fitting, Kluwer Academic Publishers, Dordrecht, 2004]. Special attention is paid to the expression of the error term of such methods. An algorithm concerning the choice of the best suited method and its parameter is discussed. Several numerical examples are given to sustain the theory. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：260 / 269

页数：10

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