On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation

被引：15

作者：

Cho, Chien-Hong ^{[1
]}

机构：

[1] Chung Cheng Univ, Dept Math, Chiayi 621, Taiwan

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 01期

关键词：

Finite difference method; Nonlinear ODE; Blow-up; APPROXIMATION;

D O I：

10.1016/j.aml.2010.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the blow-up ODE problem u = u(1+gamma) (gamma > 0), u(0) = a(0) > 0, (u) over dot(0) = a(1) > 0, and a finite difference analogue, whose solution also blows up in finite time. In this paper, not only the convergence of the numerical blow-up time is proved but also the error estimate for the convergence is derived. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：49 / 54

页数：6

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