Step size strategies for the numerical integration of systems of differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Kizilkan, Gulnur Celik¹  Aydin, Kemal² 

[1] Kahramanmaras Sutcu Imam Univ, Fac Educ, Dept Primary Math Educ, Kahramanmaras, Turkey

[2] Selcuk Univ, Fac Sci, Dept Math, Konya, Turkey

关键词: Variable step size;    Error analysis;    Differential equation systems;    Numerical integration;    Step size strategy;   

DOI  :  10.1016/j.cam.2011.06.032

来源: Elsevier

【 摘 要 】

In this study, the step size strategies are obtained such that the local error is smaller than the desired error level in the numerical integration of a type of nonlinear equation system in interval [t(0) .T]. The algorithms are given for calculating step sizes and numerical solutions according to these strategies. The algorithms are supported by the numerical examples. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free