常微分方程的超隐式两步配位法

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-10 DOI:10.1007/s40314-024-02848-7

L. Taheri Koltape, G. Hojjati, S. Fazeli, A. Abdi

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引用次数: 0

摘要

本文介绍了一类用于常微分方程数值解的两步配位方法。这些方法配备了未来点技术，分为两类，在每一步近似求解时，使用前两个子区间以及未来子区间中某些点的数值解。分析了所提出的方法与类似方法相比在收敛阶次和稳定性方面的优越性。通过一些数值实验验证了所取得的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Super implicit two-step collocation methods for ordinary differential equations

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Super implicit two-step collocation methods for ordinary differential equations

This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are equipped with the future point technique and described in two types, to approximate the solution in each step, use the numerical solution in some points in the two previous subintervals as well as in the future subinterval. The superior features of the proposed methods in convergence order and stability in comparison with the similar methods are analyzed. The achieved improvements are verified by giving some numerical experiments.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.