Application of hat functions to solve linear Fredholm fuzzy integral equation of the second kind

Abstract

In this paper, we present an efficient direct method for solving Fredholm fuzzy integral equation of the second kind based on hat functions. The method is based on new vector forms for representation of hat functions and its operational matrix. We have not used any integration, so all calculations can be easily implemented. Moreover, the convergence of the proposed method is proved. Finally, illustrative examples are included to show accuracy and efficiency of the proposed method.

Solving linear and nonlinear Abel fuzzy integral equations by homotopy analysis method

“…Recently, Mirzaee et al [13][14][15] have studied the numerical solutions of the Fredholm fuzzy integral equations. Since the homotopy analysis method is a powerful device for solving a wide variety of problems arising in many scientific applications, we will develop the numerical methods for the approximate solutions of linear and nonlinear Abel fuzzy integral equations.…”