Browsing by Author "Inc, M"

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    Modified decomposition method for nonlinear Volterra-Fredholm integral equations
    Bildik, N; Inc, M
    In this paper, the nonlinear Volterra-Fredholm integral equations are solved by using the modified decomposition method (MDM). The approximate solution of this equation is calculated in the form of a series with easily computable components. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. Two test problems are presented to illustrate the reliability and the performance of the modified decomposition method. (c) 2006 Elsevier Ltd. All rights reserved.
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    A Comparison between Adomian Decomposition and Tau Methods
    Bildik, N; Inc, M
    We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the integro-differential equations. The numerical results show that ADM method is very effective and convenient for solving differential equations than Tao method.