Stability and Convergence of a Difference Scheme for a Singular Cauchy Problem

被引：0

作者：

Ospanova, Ademi ^{[1
]}

Kussainova, Leili ^{[1
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Dept Mech & Math, Astana 010008, Kazakhstan

来源：

WORLD CONGRESS ON ENGINEERING - WCE 2013, VOL I | 2013年

关键词：

difference scheme; stability; approximation and convergence of approximative scheme; EQUATIONS;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the work we consider a model of difference scheme for a numerical solution of Cauchy problem for first order differential equation with the singularity at infinity. We build a sequence of discrete operators for the difference scheme and prove that the sequence is stable. Approximation and convergence theorems for the approximative scheme are proved on the solutions to the Cauchy problem.

引用

页码：222 / 225

页数：4

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