The Nyström method for hybrid fuzzy differential equation IVPs

In this paper, the Nyström method is developed to approximate the solutions for hybrid fuzzy differential equation initial value problems (IVPs) using the Seikkala derivative. A proof of convergence of this method is also discussed in detail. The accuracy and efficiency of the proposed method are de...

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Bibliographic Details
Published in:Journal of King Saud University. Science 2011-10, Vol.23 (4), p.371-379
Main Authors: Fard, Omid Solaymani, Bidgoli, Tayebeh AliAbdoli
Format: Article
Language:English
Subjects:
Fuzzy differential equations
Fuzzy interpolation
Fuzzy polynomials
Hybrid systems
Nyström method
Seikkala derivative
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Summary:In this paper, the Nyström method is developed to approximate the solutions for hybrid fuzzy differential equation initial value problems (IVPs) using the Seikkala derivative. A proof of convergence of this method is also discussed in detail. The accuracy and efficiency of the proposed method are demonstrated by applying it to two different numerical experiments.
ISSN:1018-3647
DOI:10.1016/j.jksus.2010.07.020