Journal
FUZZY SETS AND SYSTEMS
Volume 331, Issue -, Pages 47-67Publisher
ELSEVIER
DOI: 10.1016/j.fss.2016.11.013
Keywords
Fuzzy ordinary differential equations; Fuzzy differentiability; Characterization theorem; Error analysis; Runge-Kutta methods
Funding
- University of Malaya HIR [UM.C/625/HIR/MOHE/FCSIT/08, B000008]
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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. (C) 2016 Elsevier B.V. All rights reserved.
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