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Solving delay differential equations using modified 2-point block method


Citation

Abdul Aziz, Nurul Huda and Abdul Majid, Zanariah (2012) Solving delay differential equations using modified 2-point block method. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 791-797).

Abstract / Synopsis

The performance of a modified 2-point block method for solving delay differential equations (DDE) has been investigated. The proposed method computes the numerical solution at two points simultaneously and produces two new equally spaced solution values within a block. This method is based on a pair of explicit and implicit of Adams formulas which are implemented in PE(CE)s mode. The Newton divided difference interpolation has been used to approximate the delay solutions and the algorithm is implemented in variable step size. Numerical results demonstrate the efficiency of the proposed method when solving delay differential equations.


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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/10.1063/1.4801207
Publisher: AIP Publishing LLC
Keywords: Block method; Delay differential equations; Variable step size
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 12:04
Last Modified: 26 Sep 2017 12:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801207
URI: http://psasir.upm.edu.my/id/eprint/57319
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