A Three-Stage Multiderivative Explicit Runge-Kutta Method

• 作者: Ashiribo Senapon Wusu Moses Adebowale Akanbi Solomon Adebola Okunuga
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Multiderivative AUTONOMOUS Rung-Kutta Stability CONVERGENCE INITIAL VALUE PROBLEMS
• 年，卷（期）: 2013,（2）
• 页码范围: 121-126
• 页数: 6页
• 分类号: O1

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.