A numerical ODE solver that preserves the fixed points and their stability

Authors:
J. Vigo-Aguiar;Higinio Ramos
Affiliations:
Department of Applied Mathematics, Universidad de Salamanca, Spain and Scientific Computing Group, Universidad de Salamanca, Spain;Scientific Computing Group, Universidad de Salamanca, Spain and Escuela Politécnica Superior de Zamora, Campus Viriato, 49022, Zamora, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 3
Cited 0

Numerical methods for ordinary differential systems: the initial value problem

Numerical methods for ordinary differential systems: the initial value problem
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Control of local error stabilizes integrations

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.30

Visualization

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.