An efficient iterative method for solving differential equations of fuzzy Bratu type

Subject Areas : Statistics

Bahram Agheli ^{1 *}

1 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

Received: 2020-06-21 Accepted : 2021-08-28 Published : 2022-06-22

Keywords: معادلات دیفرانسیل براتو, روش عددی, معادلات دیفرانسیل فازی,

Abstract :

In this paper, we consider the Brato differential equation, in which the boundary condition values ​​are fuzzy values and the purpose is to calculate the approximate Solution. For this, first, using arithmetic operations on fuzzy data, we convert the Bratu differential equation into three sets of differential equations with exact value, and then, using the Tamimi and Ansari method (TAM), the approximate solution of the differential equation can be calculated. Finaly, two examples to express efficiency and simplicity by finding an approximate solution have been presented. Matmetica software has been used for all calculations and plots.