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

Fudziah Ismail, and Hussain, Kasim and Norazak Senu, (2016) A sixth-order RKFD method with four-stage for directly solving special fourth-order ODEs. Sains Malaysiana, 45 (11). pp. 1747-1754. ISSN 0126-6039

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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.

Item Type:Article
Keywords:Ordinary differential equations; Special fourth order; RKFD method; Runge-Kutta method
Journal:Sains Malaysiana
ID Code:10395
Deposited By: ms aida -
Deposited On:17 May 2017 01:42
Last Modified:22 May 2017 00:11

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