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An implicit multistep block method for fuzzy differential equations


Ramli, Azizah and Abdul Majid, Zanariah (2015) An implicit multistep block method for fuzzy differential equations. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 81-87).


A 2-point diagonally implicit multistep block method of order five is proposed. It is implemented to find the approximation for first-order fuzzy differential equations (FDEs) under on Seikkala derivative. This block method operates by approximating two points at yn+1 and yn+2 concurrently in a step. Both formulas are derived by using Lagrange interpolating polynomial. The method is generated by combining the predictor and corrector formulas in the PE(CE)m mode, where m is the number of iteration. The performances of the method are illustrated by solving problem and the numerical findings are compared with the existing method.

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Official URL or Download Paper: http://ieeexplore.ieee.org/document/7357031/

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/ICREM.2015.7357031
Publisher: IEEE
Keywords: Block method; Fuzzy differential equations; Multistep method
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:09
Last Modified: 03 May 2017 04:09
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357031
URI: http://psasir.upm.edu.my/id/eprint/51890
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