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

Author(s):

Pegah Moatamed , Mahnaz Barkhordari Ahmadi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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:

Generalized Hukuhara Derivative , Fuzzy Parabolic PDE , Crank-Nicolson Solution

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
67 to 82
https://www.magiran.com/p2797833