Stability analysis of one-leg methods for nonlinear functional differential and functional equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Yu, Yuexin¹  Wen, Liping¹ 

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China

关键词: Nonlinear functional differential and functional equations;    One-leg methods;    A-stability;    Global stability;    Asymptotic stability;   

DOI  :  10.1016/j.cam.2010.07.009

来源: Elsevier

【 摘 要 】

This paper is concerned with the numerical solution of nonlinear functional differential and functional equations. The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method is globally stable and a strongly A-stable one-leg method is asymptotically stable under suitable conditions. A numerical test is given to confirm the theoretical results. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free