A numerical ODE solver that preserves the fixed points and their stability
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摘要
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.
论文关键词：65L05,65L06,65L70,Fixed points,Exact finite difference methods,Predictor–corrector method,Nonstandard finite-difference methods,Initial-value problems
论文评审过程：Received 14 December 2009, Revised 28 June 2010, Available online 8 July 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.07.004
