Title of article
A numerical ODE solver that preserves the fixed points and their stability
Author/Authors
Vigo-Aguiar، نويسنده , , J. and Ramos، نويسنده , , Higinio، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
1856
To page
1867
Abstract
In this paper, we provide a one-step predictor–corrector method for numerically solving first-order differential initial-value problems with two fixed points. The method preserves the stability behaviour of the fixed points, which results in an efficient integrator for this kind of problem. Some numerical examples are provided to show the good performance of the method.
Keywords
Exact finite difference methods , Initial-value problems , predictor–corrector method , Nonstandard finite-difference methods , Fixed points
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2011
Journal title
Journal of Computational and Applied Mathematics
Record number
1556092
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