线性非齐次中性受电弓方程的全几何网格变系数BDF方法

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-03-20 DOI:10.1016/j.amc.2025.129412

Zhixiang Jin , Chengjian Zhang

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引用次数: 0

摘要

本文对线性非齐次中性受电弓方程初值问题进行了数值计算和分析。为了求解这类问题，构造了一类具有全几何网格的扩展k步变系数后向微分公式（BDF）方法。在适当的条件下，证明了扩展的k阶变系数BDF方法可以达到k阶精度，并且是渐近稳定的。通过一系列数值实验，进一步验证了所提方法的计算有效性和理论结果。

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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Variable-coefficient BDF methods with fully-geometric grid for linear nonhomogeneous neutral pantograph equations

This paper deals with numerical computation and analysis for the initial value problems (IVPs) of linear nonhomogeneous neutral pantograph equations. For solving this kind of IVPs, a class of extended k-step variable-coefficient backward differentiation formula (BDF) methods with fully-geometric grid are constructed. It is proved under the suitable conditions that an extended k-step variable-coefficient BDF method can arrive at k-order accuracy and is asymptotically stable. With a series of numerical experiments, the computational effectiveness and theoretical results of the presented methods are further confirmed.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.