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- Title
Numerical solution of fuzzy differential equations under generalized differentiability by Improved Euler method.
- Authors
Suresh, R.; Kanagarajan, K.
- Abstract
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. The Improved Euler approximation method is implemented and its error analysis, which guarantees pointwise convergence, is given. The method applicability is illustrated by solving a linear first-order fuzzy differential equation.
- Subjects
NUMERICAL solutions to differential equations; FUZZY mathematics; EULER method; APPROXIMATION theory; INITIAL value problems
- Publication
International Journal of Applied Mathematics & Computation, 2014, Vol 6, Issue 1, p17
- ISSN
0974-4665
- Publication type
Article