Using the embedding method, numerical procedures for solving fuzzy differential equations (FDEs) and fuzzy integral equations (FIEs) with arbitrary kernels have been investigated. Sufficient conditions for convergence of the proposed algorithms are given and their applicability is illustrated with e
Numerical solutions of fuzzy differential equations
โ Scribed by Ming Ma; Menahem Friedman; Abraham Kandel
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 357 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
Numerical algorithms for solving 'fuzzy ordinary differential equations' (FODE) are considered. A scheme based on the classical Euler method is discussed in detail, and this is followed by a complete error analysis. The algorithm is illustrated by solving several linear and nonlinear fuzzy Cauchy problems. (~) 1999 Elsevier Science B.V. All rights reserved.
๐ SIMILAR VOLUMES
We study the asymptotic behaviour of the solutions of the fuzzy differential equations. The method of successive approximation is used to establish our results. (~) 1997 Elsevier Science B.V.
In this paper we show the existence and uniqueness of fuzzy solutions of the equation du(t)=dt = f(t; u(t)); u(0) = u0 โ E n , using the properties of Hasegawa's functionals and successive approximation.