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Block backward differentiation formulas for solving second order fuzzy differential equations


Citation

Tiaw, Kah Fook and Ibrahim, Zarina Bibi (2017) Block backward differentiation formulas for solving second order fuzzy differential equations. Matematika, 33 (2). pp. 215-226. ISSN 0127-8274

Abstract

In this paper, we study the numerical method for solving second order Fuzzy Differential Equations (FDEs) using Block Backward Differential Formulas (BBDF) under generalized concept of higher-order fuzzy differentiability. Implementation of the method using Newton iteration is discussed. Numerical results obtained by BBDF are presented and compared with Backward Differential Formulas (BDF) and exact solutions. Several numerical examples are provided to illustrate our methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.11113/matematika.v33.n2.868
Publisher: Penerbit UTM Press
Keywords: Fuzzy differential equations; Block backward differentiation formula; Block differential formula; Generalized differentiability
Depositing User: Nabilah Mustapa
Date Deposited: 11 Jun 2018 08:17
Last Modified: 11 Jun 2018 08:17
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.11113/matematika.v33.n2.868
URI: http://psasir.upm.edu.my/id/eprint/64098
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