Quasi-Analytical Solution of the Painleve Fuzzy Differential Equation
Subject Areas : Statistics
Mohammad
Adabi tabar
1
(Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshahr, Iran.)
Ali
Hosseinzadeh
2
(Department of mathematics, Lahijan, Branch, Islamic Azad University, Lahijan, Iran)
Bahram
Agheli
3
(Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran)
Samaneh
mohamadzadeh far
4
(Department of mathematics, Lahijan, Branch, Islamic Azad University, Lahijan, Iran)
Keywords: عدد فازی, روش تمیمی و انصاری (TAM), معادله دیفرانسیل پینلیو,
Abstract :
In this paper, we consider the first-order Painleve differential equation, which variables and coefficients are real but are known boundary conditions and fuzzy numbers. The goal is to calculate the approximate answer for it. Given the boundary conditions fuzzy, it is obvious that the approximate answer function must be a fuzzy function. For this purpose, first, by applying arithmetic on fuzzy data with three components of central index, left ambiguity and right ambiguity, it converts Painleve differential equation into three sets of differential equations (central index, left ambiguity and right ambiguity) with accurate data. do . Then, using the Tammy and Ansari (TAM) method, we calculate the approximate solution of each of the three transformed differential equations and arrive at the fuzzy approximate solution of the Painleve differential equation. Finally, by giving an example, we show the suitability of the method by calculating the error and convergence by finding the approximate solution.
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