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

الموضوعات : فصلنامه ریاضی

Mahnaz Barkhordarii ¹ , N. Kiani ² , Nasser Mikaeilvand ³

1 - Iran, Islamic Republic of
2 -
3 -

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 01 السبت , جمادى الثانية, 1436

الکلمات المفتاحية: Fuzzy-number-valued function, Generalized dierentiability, Fuzzy dierential equation, Adams-Bashforth method, Adams-Moulton method, Predictor-Corrector method,

ملخص المقالة :

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