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Newton-cotes formulas in Runge-Kutta method

Author(s)
Podisuk, Maitree
Phummark, Somsakun
Date Issued
January 1, 2005
Type
Article
Abstract
In this paper, we will introduce some formulas of Runge-Kutta method for solving the initial value problem of the ordinary differential equations by using the points and weights from the Newton-Cotes formulas for the numerical integration. We will use these formulas to find the numerical solutions of some examples and compare these results with the classical known Runge-Kutta formulas.
Citation
Wseas Transactions on Mathematics, 4(1), 18-23, 2005
Subjects

Fehlberg

Goeken

Johnson

Newton-Cotes

Runge-Kutta

Wu

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