Piecewise Approximation for Bipolar Fuzzy Initial Value Problem

E. Ahmady, N. Ahmady and T. Allahviranloo
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E. Ahmady: Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
N. Ahmady: ��Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran
T. Allahviranloo: ��Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey

New Mathematics and Natural Computation (NMNC), 2024, vol. 20, issue 03, 687-709

Abstract: In this work, a new solution for the bipolar-fuzzy initial value problem is proposed. This method is obtained by approximating the solution by piece-wise polynomial of order three. The existence and uniqueness of the solution and convergence of the method are discussed in detail. Finally, for more explanation, several numerical examples are solved.

Keywords: Bipolar-fuzzy initial value problem; existence; convergence (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S1793005724500376

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