In this paper, the variational iteration method for solving nth-order fuzzy integro differential equations (nth-FIDE) is proposed. In fact the problem is changed to the system of ordinary fuzzy integro-differential equations and then fuzzy solution of nth-FIDE is obtained. Some examples show the efficiency of the proposed method.

In this paper a numerical technique based on the B-spline method is presented for the solution of Fredholm integro-differential equations. To illustrate the efficiency of the method some examples are introduced and the results are compared with the exact solution.  

In this study, a Taylor method is developed for numerically solving the high-order most general nonlinear Fredholm integro-differential-difference equations in terms of Taylor expansions. The method is based on transferring the equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with the unknown Taylor coefficients. Also, we test the ...

This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples.

In the first part of this paper we study the regularity properties of solutions to initial or boundary-value problems of Fredholm integro-differential equationswithweakly singular or other nonsmooth kernels.We then use these results in the analysis of a piecewise polynomial collocation method for solving such problems numerically. Presented numerical examples display that theoretical results ar...

Abstract In this study, linear Fredholm fractional integro-differential equations (FIDEs) are numerically solved, where the derivative is considered in Caputo sense. work, least squares method (LSM) using a compact combination of shifted Chebyshev polynomials (SCP) first Kind applied to solving class FIDEs. Our aim write unknown function as series SCP, and then reduce problem system algebraic e...