Issue:Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four

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Title of paper: Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four Author(s): B. Ben Amma LMACS, Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco bouchrabenamma@gmail.com L. S. Chadli LMACS, Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco Presented at: 3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey Published in: "Notes on IFS", Volume 22, 2016, Number 4, pages 42—52 Download:  PDF (227  Kb, Info) Abstract: This paper presents solution for first order fuzzy differential equation by Runge–Kutta method of order four. This method is discussed in detail and this is followed by a complete error analysis. The accuracy and efficiency of the proposed method is illustrated by solving an intuitionistic fuzzy initial value problem. Keywords: Intuitionistic fuzzy Cauchy problem, Runge–Kutta method of order four. AMS Classification: 03E72, 08A72. References: Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96. Atanassov, K. (1999) Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin. Buckely, J. J., & Feuring, T. (2000) Fuzzy differential equations, Fuzzy Sets and Systems, 110, 43–54. Ben Amma, B., Melliani, S., & Chadli, L. S. (2016) Numerical Solution Of Intuitionistic Fuzzy Differential Equations By Euler and Taylor Method, Notes on Intuitionistic Fuzzy Sets, 22(2), 71–86. Duraisamy, C., & Usha, B. (2012) Numerical Solution of Differential Equation by Runge–Kutta Method of Order Four, European Journal of Scientific Research, 67, 324–337. Friedman, M., & Kandel, A. (1999) Numerical solution of fuzzy differential equations, Fuzzy Sets and Systems, 105, 133–138. Melliani, S., Elomari, M., Chadli, L.S., & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53. Melliani, S., Elomari, M., Atraoui, M., & Chadli, L. S. (2015) Intuitionistic fuzzy differential equation with nonlocal condition, Notes on Intuitionistic Fuzzy Sets, 21(4), 58–68. Ettoussi, R., Melliani, S., & Chadli, L. S. (2015) Solution of Intuitionistic Fuzzy Differential Equations by successive approximation method, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62. Zadeh, L.A., (1965) Fuzzy sets, Inf. Control, 8, 338–353. Citations: Issue:Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.