Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations

A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived. A standard set of test problems are tested and comparisons on the numer...

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Bibliographic Details
Main Authors: Md Ariffin, Latifah, Senu, Norazak, Suleiman, Mohamed
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57217/1/Third-order%20explicit%20two-step%20Runge-Kutta-Nystr%C3%B6m%20method%20for%20solving%20second-order%20ordinary%20differential%20equations.pdf