Approximate solution of two-dimensional Volterra integral equation by Chebyshev polynomial method and Adomian decomposition method

In this paper we investigate the numerical solution of two dimensional Volterra integral equations by two different methods, Chebyshev polynomial and Adomian decomposion method. Two numerical examples are given to illustrate the methods. Acomparison between the two methods is given. keywords: Chebyshev polynomials , Adomian decomposion method , two dimensional integral equations , collocation points

Approximate Solution of Nonlinear fractional Integro-Di erential Equations By He's Homotopy Perturbation Method And The Modi cation of He's Variational Iteration Method

In this paper, we compare the modi cation of He's variational iteration method (MVIM), and He's homotopy perturbation method (HPM), in order to obtain the approximate solution of nonlinear frac- tional integro-di erential equations of Volterra and Fredholm integro-di erential equations, we present some examples to nd out accuracy of the methods. keywords: Fractional integro-di erential equations, Caputo derivative, modi cation of He's variational iteration method, homotopy perturbation metho