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Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly


Citation

Abdul Majid, Zanariah and Suleiman, Mohamed (2006) Direct integration implicit variable steps method for solving higher order systems of ordinary differential equations directly. Sains Malaysiana, 35 (2). pp. 63-68. ISSN 0126-6039

Abstract / Synopsis

In this paper, a direct integration implicit variable step size method in the form of Adams Moulton Method is developed for solving directly the second order system of ordinary differential equations (ODEs) using variable step size. The existing multistep method involves the computations of the divided differences and integration coefficients in the code when using the variable step size or variable step size and order. The idea of developing this method is to store all the coefficients involved in the code. Thus, this strategy can avoid the lengthy computation of the coefficients during the implementation of the code as well as to improve the execution time. Numerical results are given to compare the efficiency of the developed method with the 1-point method of variable step size and order code (IPDVSO) in Omar (1999).


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Penerbit Universiti Kebangsaan Malaysia
Keywords: Implicit method; Ordinary differential equations; Variable steps method
Depositing User: Azwana Abdul Rahman
Date Deposited: 04 Aug 2011 07:57
Last Modified: 22 Jan 2016 07:35
URI: http://psasir.upm.edu.my/id/eprint/18015
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