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Inicio  /  Computation  /  Vol: 8 Par: 2 (2020)  /  Artículo
ARTÍCULO
TITULO

Embedded Exponentially-Fitted Explicit Runge-Kutta-Nyström Methods for Solving Periodic Problems

Musa Ahmed Demba    
Poom Kumam    
Wiboonsak Watthayu and Pawicha Phairatchatniyom    

Resumen

In this work, a pair of embedded explicit exponentially-fitted Runge?Kutta?Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions. A variable step-size technique is used for the derivation of the 5(3) embedded pair, which provides a cheap local error estimation. The numerical results obtained signify that the new adapted method is more efficient and accurate compared with the existing methods.

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