A Numerical Algorithm for Solving Impulsive Fuzzy Initial Value Problem Based on Fuzzy Methods

Subject Areas : International Journal of Industrial Mathematics

محدثه  دیرباز ¹ (گروه ریاضی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران.)
سعید  عباسبندی ² (گروه ریاضی، دانشگاه بین المللی امام خمینی، قزوین، ایران.)

Received: 2020-03-26 Accepted : 2020-09-23 Published : 2021-07-01

Keywords: Multline‎, Fuzzy Modified Euler's method, Generated of Hukuhara difference, Impulsive fuzzy differential equation,

Abstract :

In this paper, first the Newton’s divided difference interpolation method based on the gH difference on fuzzy data is introduced. Then the numerical methods entitled fuzzy Euler and modified fuzzy Euler are used to solve fuzzy impulsive initial value problem. Moreover the algorithms for the fuzzy impulsive initial value problem are explained and their local truncation errors are obtained in details. Finally, for more illustration some numerical examples are solved.

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