Stability analysis of implicit-explicit ?-methods for composite stiff neutral functional differential equations in Banach space

被引：0
|
作者：
Long, Tao [1 ]
Yu, Yuexin [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 419卷
基金：
中国国家自然科学基金;
关键词：
Neutral functional differential equations; Asymptotic stability; Implicit-explicit theta-methods; Banach space; RUNGE-KUTTA METHODS; ONE-LEG METHODS; NONLINEAR STABILITY; ASYMPTOTIC STABILITY; THETA-METHODS; CONTRACTIVITY; CONVERGENCE;
D O I：
10.1016/j.cam.2022.114760
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the stability and asymptotic stability of implicit-explicit (IMEX) theta-methods for composite stiff neutral functional differential equations in Banach space. The stability and asymptotic stability conditions of the methods are obtained. The given numerical experiments confirmed the accuracy of the obtained theoretical results and showed that the IMEX theta-methods have a higher computational efficiency compared to the theta-methods in the end. (c) 2022 Elsevier B.V. All rights reserved.
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