Title of article :
A novel method for solving fuzzy parabolic PDE by using the SG-Hukuhara differentiability
Author/Authors :
Moatamed ، Pegah Department of Mathematics - Islamic Azad University, Kerman Branch , Barkhordari Ahmadi ، Mahnaz Department of Mathematics - Islamic Azad University, Bandar Abbas Branch
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
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center