Solving Fuzzy Differential Equations by Using Power Series

  • Rasha H. Ibraheem Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad- Iraq
Keywords: Taylor expansion, third order Fuzzy differential equations, Residual power series method

Abstract

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 the-level equals one.

Published
2020-05-17
How to Cite
IbraheemR. H. (2020). Solving Fuzzy Differential Equations by Using Power Series. Iraqi Journal of Science, 92-107. https://doi.org/10.24996/ijs.2020.SI.1.13