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

• 作者: Ashiribo Senapon Wusu Bakre Omolara Fatimah Moses Adebowale Akanbi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: EXPLICIT HARMONIC RUNGE-KUTTA AUTONOMOUS
• 年，卷（期）: 2015,（4）
• 页码范围: 694-699
• 页数: 6页
• 分类号: O1

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.