用八阶和九阶RUNGE-KUTTA型方法求解常微分方程vvi（u）=f（u，v，v'，v''，v''）

Q3 Multidisciplinary

Malaysian journal of science Pub Date : 2023-06-30 DOI:10.22452/mjs.vol42no2.5

Manpreet Kaur, Sangeet Kumar, J. Bhatti

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引用次数: 0

摘要

本文给出了求解六阶常微分方程（ODE）的数值结论。导出了求解微分方程全局截断误差的三阶八阶（RKSD8）和四阶九阶Runge-Kutta方法（RKSD9）的阶条件概念，定义并证明了扩展Runge-Katta方法的全局和局部截断误差范数、零稳定性。

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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SOLUTION OF ORDINARY DIFFERENTIAL EQUATION vvi (u)=f(u,v,v',v'',v''') USING EIGHTH AND NINTH ORDER RUNGE-KUTTA TYPE METHOD

The present paper presents the numerical conclusion to solve sixth order initial value ordinary differential equation (ODE). The concept of order conditions for three stage eighth order (RKSD8) & four stage ninth order Runge-Kutta methods (RKSD9) has been derived for finding global truncation error of differential equation The global and local truncated errors norms, zero stability of extended Runge-Kutta method (RK) is well defined and demonstrated with the help of an example.

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来源期刊

Malaysian journal of science Multidisciplinary-Multidisciplinary

CiteScore

1.10

自引率

0.00%

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期刊介绍： Information not localized