Solving fuzzy differential equations using implicit multistep block method

Citation

Ramli, Azizah and Abdul Majid, Zanariah (2014) Solving fuzzy differential equations using implicit multistep block method. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. (pp. 1-7).

Abstract

In this paper, an implicit multistep block method of order three is proposed for solving fuzzy differential equations. The method is based on diagonally implicit multistep block method where the coefficients of the lower triangular matrix entries are zero. This method works by moving two steps in a block, thus the values of yn+1 and yn+2 are approximated simultaneously. The formulas are derived by using Lagrange interpolating polynomial. The method is carried out by combining the predictor and corrector formulas. The performances of the block method are compared with the existing methods by solving some numerical problems.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4932428
Publisher:	AIP Publishing LLC
Keywords:	Block method; Fuzzy differential equations; Lower triangular matrix
Depositing User:	Nabilah Mustapa
Date Deposited:	27 Sep 2017 07:28
Last Modified:	27 Sep 2017 07:28
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4932428
URI:	http://psasir.upm.edu.my/id/eprint/57399
Statistic Details:	View Download Statistic

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