文章基本信息

标题：A Runge-Kutta Method for Solving Second Order ODEs Directly
本地全文：下载
作者：Mohamed B. Suleiman ; Jalil Abd. Ghani ; Mohri B. Idris 等
期刊名称：Pertanika Journal of Social Sciences & Humanities
印刷版ISSN：0128-7702
电子版ISSN：2231-8534
出版年度：1987
卷号：10
期号：2
出版社：Universiti Putra Malaysia
摘要：A Runge-Kutta method for solving second order ODEs directly is defined. The equations of condition for the coefficients are derived using a linear operator and partial differentiation. This derivation differs from Fehlberg s (1964) where the uses a transformation and partial differentiation only for his method. The performance of the method is compared with the Fehlberg (4, 5) method on some second order problems.
关键词：Second order ordinary differential equations (ODEs); Runge-Kutta method; linear differential operator; extrapolated; tolerances