Solving Fuzzy Heat Equation by Using Numerical Methods
A. Hosseinpour *
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
*Author to whom correspondence should be addressed.
Abstract
This research proposes an explicit method to solve fuzzy heat equation with integral boundary conditions. The necessary materials and preliminaries are expressed, and a finite difference scheme for one dimensional heat equation is considered. Here, boundary conditions include integral equations which are approximated by the composite trapezoid rule. Finally, an example in order to illustrate the numerical results is given. In this example, the Hausdor distance between exact solution and approximate solution is obtained.
Keywords: Explicit method, fuzzy numbers, fuzzy heat equation, finite difference scheme.