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

This paper is concerned with the stability and asymptotic stability of implicit–explicit (IMEX) θ-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 conf...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2023-02, Vol.419, p.114760, Article 114760
Main Authors: Long, Tao, Yu, Yuexin
Format: Article
Language:English
Subjects:
Asymptotic stability
Banach space
Implicit–explicit [formula omitted]-methods
Neutral functional differential equations
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Summary:This paper is concerned with the stability and asymptotic stability of implicit–explicit (IMEX) θ-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 θ-methods have a higher computational efficiency compared to the θ-methods in the end.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114760