Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Yang, Z. W.¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

关键词: Runge-Kutta methods;    Differential equations with piecewise constant arguments;    Green's function;    Comparison theorems;   

DOI  :  10.1016/j.cam.2009.08.105

来源: Elsevier

【 摘 要 】

In this paper we deal with the numerical solutions of Runge-Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments. The numerical solution is given by the numerical Green's function. It is shown that Runge-Kutta methods preserve their original order for first-order periodic boundary value differential equations with piecewise constant arguments. We give the conditions under which the numerical solutions preserve some properties of the analytic solutions, e.g., uniqueness and comparison theorems. Finally, some experiments are given to illustrate our results. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free