Construction 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, Kazakhstan
来源
IAENG TRANSACTIONS ON ENGINEERING SCIENCES | 2014年
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D O I
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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 approximate scheme are proved on the solutions to the Cauchy problem.
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页码:39 / 45
页数:7
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