Extended explicit Pseudo two-step Runge-Kutta-Nyström methods for general second-order oscillatory systems

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-07-29 DOI:10.1007/s11075-024-01896-8

Yonglei Fang, Changying Liu, Xiong You

引用次数: 0

Abstract

Explicit pseudo two-step extended Runge-Kutta-Nyström (EPTSERKN) methods for the numerical integration of general second-order oscillatory differential systems are discussed in this paper. New explicit pseudo two-step Runge-Kutta-Nyström (EPTSRKN) methods and explicit extended Runge-Kutta-Nyström (ERKN) methods are derived. We give the global error analysis of the new methods. The s-stages new methods are of order \(s+1\) with some suitable nodes. Numerical experiments are carried out to show the efficiency and robustness of the new methods.

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一般二阶振荡系统的扩展显式伪两步 Runge-Kutta-Nyström 方法

本文讨论了用于一般二阶振荡微分系统数值积分的显式伪两步扩展 Runge-Kutta-Nyström (EPTSERKN) 方法。推导了新的显式伪两步 Runge-Kutta-Nyström (EPTSRKN) 方法和显式扩展 Runge-Kutta-Nyström (ERKN) 方法。我们给出了新方法的全局误差分析。新方法的 s 阶为 \(s+1\) 阶，有一些合适的节点。我们通过数值实验证明了新方法的效率和鲁棒性。

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

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.