| Title of paper:
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Numerical solution of intuitionistic fuzzy differential equations by Runge–Kutta Method of order four
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| Author(s):
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| B. Ben Amma
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| LMACS, Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| bouchrabenamma@gmail.com
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| L. S. Chadli
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| LMACS, Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal Morocco
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| Presented at:
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3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey
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| Published in:
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"Notes on IFS", Volume 22, 2016, Number 4, pages 42—52
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| Download:
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 PDF (227 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy Cauchy problem, Runge–Kutta method of order four.
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| AMS Classification:
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03E72, 08A72.
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| References:
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- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
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- 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.
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- Zadeh, L.A., (1965) Fuzzy sets, Inf. Control, 8, 338–353.
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