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 pr
Numerical solutions of fuzzy differential and integral equations
β Scribed by Menahem Friedman; Ming Ma; Abraham Kandel
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 923 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
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 examples. This work and its conclusions may narrow the gap between the theoretical research on FDEs and FIEs and the practical applications already existing in the design of various fuzzy dynamical systems.
π SIMILAR VOLUMES
We study the approximate solutions of the fuzzy functional integral equations and compare them to functional integral equations of retarded type.
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.