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Home  >  Volume 22 (2012)

Formulation of a Symmetric Implicit Super Runge-Kutta Nyström Method for the Integration of Third Order ODEs by Yahaya Y. A. and 2Adegboye Z A. Volume 22 (November, 2012), pp 425 – 430
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Abstract
In this paper, we extend of the Symmetric Implicit Runge-Kutta Method for the integration      of first order ODEs to a Symmetric Implicit Super Runge-Kutta Nyström Method for Direct Integration of General Third Order initial value problems (IVPs).The theory of Nyström method was adopted in the derivation of the method. The method has an implicit structure for efficient implementation and produces simultaneously approximation of the solution of general Third Order IVPs. The proposed method was tested with Numerical experiment to illustrate its efficiency and the method can be extended to solve higher order differential equations. 
Keywords: Symmetric Method, Implicit Runge-Kutta Nyström Method, The theory of Nyström 
                    Method, General third order IVPs.
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