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Issue:Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method

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Title of paper: Numerical solution of intuitionistic fuzzy differential equations by Adams' three order predictor-corrector method
Author(s):
B. Ben Amma
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
Lalla Saadia Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Presented at: 20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 22, 2016, Number 3, pages 47—69
Download:  PDF (132  Kb, Info)
Abstract: In this paper three numerical methods to solve ”The intuitionistic fuzzy differential equations” are discussed. These methods are Adams–Bashforth, Adams–Moulton and predictorcorrector.

The predictor-corrector method is generated by combining an explicit three-step method and implicit tow-step method. The Convergence and stability of the proposed methods are also presented. These methods are illustrated by solving an example.

Keywords: Intuitionistic fuzzy differential equations, Adams three order predictor-corrector method.
AMS Classification: 03E72, 08A72.
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