Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs

Citation

Ismail, Fudziah (2010) Digonally implicit Runge-Kutta Nystrom general method order five for solving second order IVPs. WSEAS Transactions on Mathematics, 9 (7). pp. 550-560. ISSN 1109-2769; ESSN: 2224-2880

Abstract

A diagonally implicit Runge-Kutta-Nystrom General (SDIRKNG) method of fifth order with an explicit first stage for the integration of second-order IVPs is presented. A standard set of test problems are tested upon and the numerical results are compared when the same set of test problems are reduced to first-order system and solved using existing fifth order singly diagonally implicit Runge-Kutta method. The time taken to solve each problem over all the stepsizes are also compared. The results suggest the superiority of the new method.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
Publisher:	World Scientific and Engineering Academy and Society
Keywords:	Diagonally implicit; Runge-Kutta-Nystrom; Second-order IVPs
Depositing User:	Nurul Ainie Mokhtar
Date Deposited:	18 Jun 2015 07:41
Last Modified:	28 Sep 2015 01:53
URI:	http://psasir.upm.edu.my/id/eprint/14076
Statistic Details:	View Download Statistic

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