Variable step direct block multistep method for general second order ODEs

Citation

Waeleh, Nazreen and Abdul Majid, Zanariah (2014) Variable step direct block multistep method for general second order ODEs. In: 3rd International Conference on Fundamental and Applied Sciences (ICFAS 2014), 3-5 June 2014, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 176-183).

Abstract

Direct block multistep method is developed for the numerical solution of second order ordinary differential equations (ODEs). This method was designed for computing the solution at four points simultaneously using variable step size. The development of this method based on numerical integration and using interpolation approach which are similar to the Adams method. In order to gain an efficient and reliable numerical approximation, this developed block method is implemented in the predictor corrector mode using simple iteration technique. This method has also been proven as a convergence method under suitable conditions of stability and consistency. Several tested problems are taken into account in the numerical experiments and were compared with the existing method. The results obtained showed that this developed block method managed to produce good results.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4898463
Publisher:	AIP Publishing LLC
Keywords:	Block method; General second order ordinary differential equations; Variable step size
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 05:16
Last Modified:	24 Oct 2017 05:16
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4898463
URI:	http://psasir.upm.edu.my/id/eprint/57568
Statistic Details:	View Download Statistic

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