کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6856023 1437704 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Numerical solutions of fuzzy differential equations by an efficient Runge-Kutta method with generalized differentiability
چکیده انگلیسی
In this paper, an extended fourth-order Runge-Kutta method is studied to approximate the solutions of first-order fuzzy differential equations using a generalized characterization theorem. In this method, new parameters are utilized in order to enhance the order of accuracy of the solutions using evaluations of both f and f′, instead of using the evaluations of f only. The proposed extended Runge-Kutta method and its error analysis, which guarantees pointwise convergence, are given in detail. Furthermore, the accuracy and efficiency of the proposed method are demonstrated in a series of numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 331, 15 January 2018, Pages 47-67
نویسندگان
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