Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations

H. M. Radzi, Z. Majid, F. Ismail, M. Suleiman
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引用次数: 4

Abstract

In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep type but it is implemented as the Runge-Kutta type. The stability regions of the method are also studied. Numerical results are presented to show the efficiency of the proposed block method.
求解一阶常微分方程的龙格-库塔型四步隐式块法
本文提出了求解一阶常微分方程的四步隐式块法。该方法采用变步长方法同时逼近四点网格初值问题的解。这个四步隐式方法是多步类型,但它是作为龙格-库塔类型实现的。研究了该方法的稳定区域。数值结果表明了该方法的有效性。
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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