International Journal of Research
Email this article Runge-Kutta Nystrom method for solving fuzzy differential equations under generalized differentiability
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 nu-
merical approximation of solutions. The Runge-Kutta Nystrom approx-
imation 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.
strongly generalized differentiability concept. Utilizing the Generalized
Characterization Theorem, we investigate the problem of finding a nu-
merical approximation of solutions. The Runge-Kutta Nystrom approx-
imation 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.
Keywords
Fuzzy differential equations; Generalized differentiability; Gen- eralized Characterization Theorem; Runge-Kutta Nystrom method
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Copyright (c) 2014 K. Kanagarajan, R. Suresh
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