Development of an efficient diagonally implicit Runge–Kutta–Nyström 5(4) pair for special second order IVPs

In this work, a new pair of diagonally implicit Runge–Kutta–Nyström methods with four stages is constructed. The proposed method has been derived to solve initial value problems of special second-order ordinary-differential equations. The principal local truncation error of the new method is obtaine...

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Bibliographic Details
Main Authors: Ahmed Demba, Musa, Senu, Norazak, Ramos, Higinio, Watthayu, Wiboonsak
Format: Article
Published: MDPI 2022
Online Access:http://psasir.upm.edu.my/id/eprint/100598/