Introduction to Numerical Methods for Solving Fuzzy Differential Equations

Document Type : Original Article

Authors

20.1001.1.27174409.1399.3.1.8.3/DOR

Abstract

Due to the progress of technical and engineering sciences and the application of differential equations in engineering problems, solving differential equations is of great importance. What we are dealing with in this article is the numerical solution of this group of equations in fuzzy conditions. The most important point in fuzzy differential equations is the type of fuzzy derivative used in this type of equation. The Sikala derivative was one of the most practical derivatives that was first used in fuzzy differential equations and based on it, important numerical solution methods such as Euler method, Taylor method and multi-step methods were proposed by researchers. In this article, we will give a brief overview of these methods.

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References

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History

  • Receive Date: 21 October 2020
  • Revise Date: 19 November 2020
  • Accept Date: 01 February 2021

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