APPROACHES TO THE NUMERICAL SOLVING OF FUZZY DIFFERENTIAL EQUATIONS

D.T.Muhamediyeva

Abstract: One of the main problems of the theory of numerical methods is the search for cost-effective computational algorithms that require minimal time machine to obtain an approximate solution with any given accuracy. In article considered fuzzy analog of the alternating direction, combining the best qualities of explicit and implicit scheme is unconditionally stable (as implicit scheme) and requiring for the transition from layer to layer a small number of actions (as explicit scheme).

Keywords: fuzzy set, quasi-differential equation, the scheme of variable directions, finite-difference methods.

DOI: https://doi.org/10.15623/ijret.2014.0307057