Solving nonlinear neutral delay integro-differential equations via general linear methods

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2024-11-02 DOI:10.1016/j.cam.2024.116342

Yuexin Yu

引用次数: 0

Abstract

General linear methods are adapted for solving nonlinear neutral delay integro-differential equations. The sufficient conditions for the stability and asymptotic stability of

(k, l)

-algebraically stable general linear methods are derived. At last, a numerical test is given to validate the theoretical results.

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用一般线性方法求解非线性中性延迟积分微分方程

一般线性方法适用于求解非线性中性延迟积分微分方程。推导出了（k,l）代数稳定的一般线性方法的稳定性和渐近稳定性的充分条件。最后，给出了验证理论结果的数值检验。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.