一类求解一阶常微分方程刚性系统的连续三阶块法

O.A. Akinfenwa, B. Akinnukawe, S.B. Mudasiru
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引用次数: 13

摘要

本文给出了一类k+3阶的连续三阶导数块法(CTDBM),用于求解刚性常微分方程系统。该方法利用配位插值技术生成主连续三阶导数方法(CTDM),然后使用该方法获得组合为单个块方法的附加方法。对该方法的分析表明,该方法在8阶以内是l稳定的。数值算例说明了该方法的准确性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A family of Continuous Third Derivative Block Methods for solving stiff systems of first order ordinary differential equations

This paper presents a family of Continuous Third Derivative Block Methods (CTDBM) of order k+3 for the solution of stiff systems of ordinary differential equations. The approach uses the collocation and interpolation technique to generate the main Continuous Third Derivative method (CTDM) which is then used to obtain the additional methods that are combined as a single block methods. Analysis of the methods show that the method is L-stable up to order eight. Numerical examples are given to illustrate the accuracy and efficiency of the proposed method.

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