Solving Linear and Nonlinear Systems of Fuzzy Differential Equations by Using Differential Transform Method

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Published: Apr 7, 2022
DOI: https://doi.org/10.35950/cbej.v28i114.5453
Keywords:
Fuzzy numbers, Fuzzy α-level sets, Differential transform method, System of fuzzy differential equations, Series solution.

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Rasha H. Ibraheem
Department of Mathematics, College of Basic Education, Al-mustansiriyah University, Baghdad- Iraq

Abstract

 In this paper the differential transform method (DTM) is used to solve linear and nonlinear system of fuzzy differential equations. The approximate solution of the system is calculated in the form of a rapid convergent series using descriptions and properties of fuzzy set theory, this method captures the exact solution so to illustrate the ability and subtleties of this process, some systems of fuzzy differential equations are solved as numerical examples. A comparison of evaluated numerical results with the exact solutions for each fuzzy level set is displayed in the form of tables.

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How to Cite
Solving Linear and Nonlinear Systems of Fuzzy Differential Equations by Using Differential Transform Method. (2022). Journal of the College of Basic Education, 28(114), 20-37. https://doi.org/10.35950/cbej.v28i114.5453
Issue
Vol. 28 No. 114 (2022): علمي
Section
pure science articles
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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

How to Cite

Solving Linear and Nonlinear Systems of Fuzzy Differential Equations by Using Differential Transform Method. (2022). Journal of the College of Basic Education, 28(114), 20-37. https://doi.org/10.35950/cbej.v28i114.5453