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Five step block method for solving general second order ODEs directly


Abdul Majid, Zanariah and Mukhtar, Nur Zahidah (2012) Five step block method for solving general second order ODEs directly. In: The 8th East Asian Conference (EASIAM 2012), 25-27 June 2012, Taipei, Taiwan. .


This paper presents a five point block method of Runge-Kutta type for solving general second order ordinary differential equations (ODEs) using variable step size. The block method is formulated using Lagrange interpolation polynomial. Most ofthe mathematical problems which involve higher order ODEs could be reduced to system of first order equations. The proposed method obtains the numerical solutions directly without reducing to first order systems of ODEs. The method is used to compute the solutions at five points simultaneously in a block by integrating the coefficients over the closest point in the block. The method will be formulated in terms of linear multistep method and it is equivalent to one step method. The stability region and the order of the block method are also studied. The numerical results obtained shows that the proposed method is better compared to existing block methods in terms of accuracy, total steps and execution time.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Institute for Mathematical Research
Faculty of Science
Notes: Full text are available at Special Collection Division Office
Keywords: Ordinary differential equations; Differential equations; Runge-Kutta
Depositing User: Samsida Samsudin
Date Deposited: 10 Feb 2014 02:38
Last Modified: 23 Feb 2017 14:51
URI: http://psasir.upm.edu.my/id/eprint/27253
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