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The treatment of small delay case in linear multistep method


Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah (2014) The treatment of small delay case in linear multistep method. In: International Conference on Mathematics, Engineering and Industrial Applications 2014 (ICoMEIA 2014), 28-30 May 2014, Penang, Malaysia. (pp. 1-7).


This article presents a technique on how to deal with the presence of small delay case in delay differential equations. This case has been classified as one of the difficulties in the numerical solution where it is due to the delay value that is smaller than the current step size and there is no current approximate solution that can be used in the interpolating of delay value. In this technique we will highlight on extrapolation and interpolation approaches depending on the existence of delay value in the grid point. The computational method for determining the sequence of {yn} by using the linear multistep method is investigated with the implementation of variable step size. The numerical experiments were tested on the several problems and results were compared with other approaches from those of known solvers in treating the small delay case.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4915693
Publisher: AIP Publishing LLC
Keywords: Small delay; Delay differential equations; Linear multistep method; Variable step size
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:09
Last Modified: 26 Sep 2017 04:09
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4915693
URI: http://psasir.upm.edu.my/id/eprint/57359
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