Fuzzy finite difference method for solving fuzzy Poisson's equation

Abstract

In this paper, first, the fuzzy Poisson's equation and the fuzzy finite difference method are introduced. Then, the fuzzy Poisson's equation is discretized by fuzzy finite difference method and it is solved as a linear system of equations. In addition, we discuss fuzzy Laplace equation as a special case of fuzzy Poisson's equation. Finally, the convergence of method is taken into account and for more illustration a numerrical example is solved. © 2019 Elsevier B.V., All rights reserved.