Open AccessSolving Fuzzy Differential Equations by Using Power Series
Author(s) -
Rasha H. Ibraheem
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.si.1.13
Subject(s) - mathematics , series (stratigraphy) , fuzzy logic , taylor series , power series , convergent series , differential equation , basis (linear algebra) , mathematical optimization , computer science , mathematical analysis , artificial intelligence , geometry , paleontology , biology
In this paper, the series solution is applied to solve third order fuzzy differential equations with a fuzzy initial value. The proposed method applies Taylor expansion in solving the system and the approximate solution of the problem which is calculated in the form of a rapid convergent series; some definitions and theorems are reviewed as a basis in solving fuzzy differential equations. An example is applied to illustrate the proposed technical accuracy. Also, a comparison between the obtained results is made, in addition to the application of the crisp solution, when theï€ ï¡-level equals one.