Numerical solution of fuzzy differential equations under generalized differentiability

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. Then we show that any suitable numerical method for...

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Bibliographic Details
Published inNonlinear analysis. Hybrid systems Vol. 3; no. 4; pp. 700 - 707
Main Authors Nieto, J.J., Khastan, A., Ivaz, K.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2009
Subjects
Fuzzy differential equations
Generalized Characterization Theorem
Generalized differentiability
Generalized Euler method
Generalized differentiability
Generalized Characterization Theorem
Generalized Euler method
Fuzzy differential equations
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Summary:In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. Then we show that any suitable numerical method for ODEs can be applied to solve numerically fuzzy differential equations under generalized differentiability. The generalized Euler approximation method is implemented and its error analysis, which guarantees pointwise convergence, is given. The method’s applicability is illustrated by solving a linear first-order fuzzy differential equation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1751-570X
DOI:10.1016/j.nahs.2009.06.013