APPLICATION OF FUZZY EXPANSION METHODS FOR SOLVING FUZZY FREDHOLM- VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND

Application of Fuzzy Expansion Methods for Solving Fuzzy Fredholm- Volterra Integral Equations of the First Kind

In this paper we intend to offer new numerical methods to solve the fuzzy FredholmVolterra integral equations of the first kind (FV FIE − 1) base on collocation and Galerkin methods. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods.

Spectral Scheme for Solving Fuzzy Volterra Integral Equations of First Kind

This paper discusses about the solution of fuzzy Volterra integral equation of first-kind (F-VIE1) using spectral method. The parametric form of fuzzy driving term is applied for F-VIE1, then three classifications for (F-VIE1) are searched to solve them. These classifications are considered based on the interval sign of the kernel. The Gauss-Legendre points and Legendre weights for arithmetics ...

Homotopy approximation technique for solving nonlinear‎ ‎Volterra-Fredholm integral equations of the first kind

In this paper, a nonlinear Volterra-Fredholm integral equation of the first kind is solved by using the homotopy analysis method (HAM). In this case, the first kind integral equation can be reduced to the second kind integral equation which can be solved by HAM. The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The accuracy...

A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind

In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for n...

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

Adomian Method for Solving Fuzzy Fredholm-Volterra Integral Equations

In this paper, Adomian method has been applied to approximate the solution of fuzzy volterra-fredholm integral equation. That, by using parametric form of fuzzy numbers, a fuzzy volterra-fredholm integral equation has been converted to a system of volterra-fredholm integral equation in crisp case. Finally, the method is explained with illustrative examples.