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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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