Three-Point Difference Schemes of High-Order Accuracy for Systems of Nonlinear Ordinary Differential Equations of the Second Order on a Half Line

被引：0

作者：

Kutniv M.V. ^{[1
]}

Pazdrii O.I. ^{[1
]}

机构：

[1] Lviv Polytehnic National University, Department of Applied Mathematics, ul. Bandery 12, Lvov

来源：

Journal of Mathematical Sciences | 2014年 / 201卷 / 1期

关键词：

■■■ ;

D O I：

10.1007/s10958-014-1972-2

中图分类号：

学科分类号：

摘要：

We propose an algorithmic realization of the exact three-point difference scheme for the solution of a boundary-value problem on a half line for systems of nonlinear ordinary differential equations of the second order via three-point difference schemes of rank (Formula presented.) (where [·] is the integral part). We prove the existence and uniqueness of the solution for three-point difference schemes of rank (Formula presented.) and estimate of their accuracy. The results of numerical experiments are presented. © 2014 Springer Science+Business Media New York.

引用

页码：44 / 59

页数：15

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