On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method

作     者：Ashiribo Senapon Wusu Moses Adebowale Akanbi Bakre Omolara Fatimah 

作者机构：Department of Mathematics Lagos State University Lagos Nigeria Department of Mathematics Federal College of Education (Technical) Lagos Nigeria 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2015年第6卷第4期

页      面：694-699页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Explicit Harmonic Runge-Kutta Autonomous 

摘      要：In recent times, the derivation of Runge-Kutta methods based on averages other than the arithme-tic mean is on the rise. In this paper, the authors propose a new version of explicit Runge-Kutta method, by introducing the harmonic mean as against the usual arithmetic averages in standard Runge-Kutta schemes.