A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs

Citation

Ismail, Fudziah and Hussain, Kasim and Senu, Norazak (2016) A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs. Sains Malaysiana, 11 (45). pp. 1747-1754. ISSN 0026-6039

Abstract

In this article, the general form of Runge-Kutta method for directly solving a special fourth- order ordinary differential equations denoted as RKFD method is given. The order conditions up to order seven are derived, based on the order conditions, we construct a new explicit four-stage sixth-order RKFD method denoted as RKFD6 method. Zero-stability of the method is proven. Comparisons are made using the existing Runge–Kutta methods after the problems are reduced to a system of first order ordinary differential equations. Numerical results are presented to illustrate the efficiency and competency of the new method.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
Publisher:	Universiti Kebangsaan Malaysia
Keywords:	Ordinary differential equations; Special fourth order; RKFD method; Runge-Kutta method
Depositing User:	Mohd Hafiz Che Mahasan
Date Deposited:	12 Jun 2018 08:20
Last Modified:	12 Jun 2018 08:20
URI:	http://psasir.upm.edu.my/id/eprint/54939
Statistic Details:	View Download Statistic

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