Salahshour, SoheilChan, Chee SengBaleanu, DumitruAhmadian, Ali2020-04-122025-09-182020-04-122025-09-1820180165-01141872-6801https://doi.org/10.1016/j.fss.2016.11.013https://hdl.handle.net/20.500.12416/13844Salahshour, Soheil/0000-0003-1390-3551; Chan, Chee Seng/0000-0001-7677-2865; Ahmadian, Ali/0000-0002-0106-7050In 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.eninfo:eu-repo/semantics/closedAccessError AnalysisFuzzy Ordinary Differential EquationsFuzzy DifferentiabilityCharacterization TheoremRunge-Kutta MethodsArticle10.1016/j.fss.2016.11.0132-s2.0-85008172901