Exponentially fitted two-step hybrid methods for y" = f (x, y)

被引：36

作者：

D'Ambrosio, R. ^{[1
]}

Esposito, E. ^{[1
]}

Paternoster, B. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, Salerno, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 16期

关键词：

Second order ordinary differential equations; Two-step hybrid methods; Exponential fitting; KUTTA-NYSTROM METHODS; ORDINARY DIFFERENTIAL-EQUATIONS; SCHRODINGER-EQUATION; NUMERICAL-SOLUTION; COLLOCATION METHODS; FITTING METHODS; P-STABILITY; Y''=F(X; Y); ORDER; ODES;

D O I：

10.1016/j.cam.2011.01.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is the purpose of this paper to derive two-step hybrid methods for y '' = f(x, y), with oscillatory or periodic solutions, specially tuned to the behaviour of the solution, through the usage of the exponential fitting technique. The construction of two-step exponentially fitted hybrid methods is shown and their properties are discussed. Some numerical experiments confirming the theoretical expectations are provided. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4888 / 4897

页数：10

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