期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2013
卷号：3
期号：2
页码：121-126
DOI：10.4236/ajcm.2013.32020
出版社：Scientific Research Publishing
摘要：In recent years, the derivation of Runge-Kutta methods with higher derivatives has been on the increase. In this paper, we present a new class of three stage Runge-Kutta method with first and second derivatives. The consistency and stability of the method is analyzed. Numerical examples with excellent results are shown to verify the accuracy of the proposed method compared with some existing methods.
关键词：Multiderivative; Autonomous; Rung-Kutta; Stability; Convergence; Initial Value Problems
