A novel method for solving fuzzy parabolic PDE by using the SG-Hukuhara differentiability

Document Type : Special Issue Dedicated to Prof. Esfandiar Eslami

Authors

1 Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran

2 Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran

Abstract

In this paper, the method of Crank-Nicolson is proposed for approximating the solution of  a fuzzy parabolic PDE by applying the subject of  SG-Hukuhara differentiability where the initial and boundary conditions are fuzzy numbers. The consistency and stability of this method are investigated and finally,  a non-trivial example is given by this method.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research
Volume 13, Issue 4 - Serial Number 29
Special issue dedicated to Professor Esfandiar Eslami
December 2024
Pages 67-82

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History

  • Receive Date: 02 December 2023
  • Revise Date: 25 February 2024
  • Accept Date: 28 April 2024

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