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Solving delay differential equations of pantograph type using predictor-corrector method


Citation

Hoo, Yann Seong and Abdul Majid, Zanariah (2014) Solving delay differential equations of pantograph type using predictor-corrector method. In: International Conference on Mathematics, Engineering and Industrial Applications 2014 (ICoMEIA 2014), 28-30 May 2014, Penang, Malaysia. .

Abstract

In this paper, the fourth order predictor-corrector method in the form of linear multistep method will be presented to solve delay differential equations of pantograph type. This special type of delay differential equations always has the delay term fall after the initial value but before the desire approximation being calculated. The new approach will be discussed on how to calculate the delay term which is needed in the approximation. The implementation is based on the predictor-corrector formulas in the PECE mode and the proposed method will approximate the solutions using constant step size. Numerical results are presented to show the efficiency of the proposed method.


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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/10.1063/1.4915692
Publisher: AIP Publishing LLC
Keywords: Delay differential equations; Pantograph type; Predictor-corrector method
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:10
Last Modified: 26 Sep 2017 04:10
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4915692
URI: http://psasir.upm.edu.my/id/eprint/57349
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