Predictor-corrector block iteration method for solving ordinary differential equations

Zanariah Abdul Majid, and Mohamed Suleiman, (2011) Predictor-corrector block iteration method for solving ordinary differential equations. Sains Malaysiana, 40 (6). pp. 659-664. ISSN 0126-6039


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Predictor-corrector two point block methods are developed for solving first order ordinary differential equations (ODEs) using variable step size. The method will estimate the solutions of initial value problems (IVPs) at two points simultaneously. The existence multistep method involves the computations of the divided differences and integration coefficients when using the variable step size or variable step size and order. The block method developed will be presented as in the form of Adams Bashforth - Moulton type and the coefficients will be stored in the code. The efficiency of the predictor-corrector block method is compared to the standard variable step and order non block multistep method in terms of total number of steps, maximum error, total function calls and execution times.

Item Type:Article
Keywords:Block method; ordinary differential equations; predictor corrector block
Journal:Sains Malaysiana
ID Code:2519
Deposited By: Mr Azam
Deposited On:03 Aug 2011 08:35
Last Modified:14 Dec 2016 06:31

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