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

[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.

[发布日期] 2010-12-01

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