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

页码：5640 / 5648

页数：9

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