Numerical Solution of First Order Nonlinear Fuzzy Initial Value Problems by Six- Stage Fifth Order Runge Kutta Method
Hala A. Hashim1, Akram H Shather2, Ali F. Jameel3, Azizan Saaban4
1Hala A. Hashim, Dentistry Department, Dijlah University College, Baghdad, Iraq.
2Akram H Shather, Department of Computer Engineering Techniques, Al Kitab University College, Kirkuk, Iraq.
3Ali F. Jameel, School of Quantitative Sciences, University Utara Malaysia, Kedah, Sintok, Malaysia.
4Azizan Saaban, School of Quantitative Sciences, University Utara Malaysia, Kedah, Sintok, Malaysia.
Manuscript received on 03 February 2019 | Revised Manuscript received on 10 February 2019 | Manuscript Published on 22 March 2019 | PP: 166-170 | Volume-8 Issue-5S April 2019 | Retrieval Number: ES3412018319/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The point of this paper is to present and analyze a numerical method to illuminate fuzzy initial value problems (FIVPs) including nonlinear fuzzy differential equations. The primary thought is based reformulate the six stages Runge Kutta strategy of order five (RK65) from crisp case to fuzzy case by taking the advantage of fuzzy set theory properties. It is appeared that the comes about demonstrate that the strategy is exceptionally compelling and basic to apply and fulfil the properties of the fuzzy solution. The capability of RK65 is outlined by fathoming to begin with arrange nonlinear FIVP taken after by usage of the convergence theory. Thus, the strategy can be executed and utilized to allow a numerical solution of nonlinear FIVPs.
Keywords: Fuzzy set Theory, Fuzzy Differential Equations, Six Stage Fifth Order Runge Kutta Method.
Scope of the Article: Fuzzy Logics