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Published in:
2011 | OriginalPaper | Chapter
Third Order Accelerated Runge-Kutta Nyström Method for Solving Second-Order Ordinary Differential Equations
Authors : Faranak Rabiei, Fudziah Ismail, Norihan Arifin, Saeid Emadi
Published in: Informatics Engineering and Information Science
Publisher: Springer Berlin Heidelberg
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In this paper, the explicit Accelerated Runge-Kutta Nyström (ARKN) method of order three with two stages for the numerical integration of second-order ordinary differential equations are developed. The method is two step in nature. Algebraic order conditions of the method are obtained and third order ARKN method is derived. Numerical examples are carried out to illustrate the efficiency of the proposed method compared to the existing Runge-Kutta Nyström (RKN) method.