EXTENDED PREDICTOR-CORRECTOR METHODS FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 5، 2 (SPRING)، فروردین 2015، صفحه 149-171   

نویسندگان

Mahnaz Barkhordarii؛ N. Kiani؛ Nasser Mikaeilvand

Iran, Islamic Republic of

چکیده

In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Corrector
methods are used to solve rst-order linear fuzzy ordinary dierential equations. The concepts
of fuzzy interpolation and generalised strongly dierentiability are used, to obtain
general algorithms. Each of these algorithms has advantages over current methods. Moreover,
for each algorithm a convergence formula can be obtained . The convergence of these
methods is proven in detail. Finally, these methods are illustrated using example initial value
problems.

کلیدواژه‌ها

Fuzzy-number-valued function؛ Generalized dierentiability؛ Fuzzy dierential equation؛ Adams-Bashforth method؛ Adams-Moulton method؛ Predictor-Corrector method