An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems

被引：105

作者：

Konguetsof, A ^{[1
]}

Simos, TE ^{[1
]}

机构：

[1] Democritus Univ Thrace, Sch Engn, Dept Civil Engn, Sect Math, GR-67100 Xanthi, Greece

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 1-3期

关键词：

symmetric methods; multistep methods; explicit methods; exponential fitting; trigonometric fitting; periodic problems; orbit problems; oscillating solutions;

D O I：

10.1016/S0898-1221(03)80036-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit symmetric multistep method is presented in this paper. The new method is exponentially fitted and trigonometrically-fitted and is of algebraic order eight. The effectiveness of the exponential fitting is proved by the application of the new method and the classical one (with constant coefficients) to well-known periodic problems. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：547 / 554

页数：8

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