A New Fourth-Order RUNGE-KUTTA Method Based on the Power Mean

被引：0
|
作者：
Muda, Yuslenita [1 ]
Wartono, Wartono [1 ]
Sarah, Holimina [1 ]
机构：
[1] State Islamic Univ Sultan Syarif Kasim Riau, Fac Sci & Technol, Dept Math, Pekanbaru 28294, Indonesia
来源：
VISION 2025: EDUCATION EXCELLENCE AND MANAGEMENT OF INNOVATIONS THROUGH SUSTAINABLE ECONOMIC COMPETITIVE ADVANTAGE | 2019年
关键词：
Error; Ordinary Differential Equations; Power Means; Stability; The Classic Fourth-order Runge-Kutta Method;
D O I：
暂无
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
In this paper, we introduce a new formula of classical fourth-order Runge-Kutta (RK-4) method based on power means (PM). We obtain the new formula called by RK4- PM, by changing arithmetic means on RK-4 method with certain power means i.e., and furthermore, we also get an area of its stability. Comparing with another RK-4 modification based on geometric means, the numerical results present that RK4-PM has a similar error with other methods.
引用
收藏
页码：5640 / 5648
页数：9
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