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Home  >  Volume 35

Fifth Order Extended Explicit Runge Kutta Nystrom-Like Method for the Solution of Second Order Ordinary Differential Equations by Aliyu B. Y, Jikantoro Y.D, Aliyu A.I.M and Abubakar A.(pages 79-84)
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Fifth order explicit extended Runge-Kutta Nystrom type method is constructed for numerical integration of special second order system of differential equations of the form y^''=f(x,y). We introduce additional parameters into classical Runge-Kutta Nystrom method in such a way that the first derivative of f(x,y) might be required for the integration. Constant step size code is presented. The method is applied on several model problems in the scientific literature. Results obtained from the numerical experiments suggest the superiority of the new codes over several existing codes of the same algebraic order in the literature.

Keywords:Runge-Kutta Nystrom, Second order equations Stability, Numerical Solution.