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Research Article
A Low-cost Numerical Algorithm for the Solution of Nonlinear Delay Boundary Integral Equations

S. Karimi Vanani, S. Heidari and M. Avaji

Journal of Applied Sciences, 2011, 11(20), 3504-3509.

Abstract

Telescoping Decomposition Method (TDM) as a new modification of the well-known Adomian Decomposition Method (ADM) for solving Delay Boundaries Integral Equations (DBIEs) is presented. The proposed method yields an iterative algorithm to obtain the numerical and analytical solutions of DBIEs including linear and nonlinear terms. The main characteristic of the proposed method is to avoid calculating the Adomian polynomials and yields a simple algorithm. In the obtained algorithm, some orthogonal polynomials are effectively implemented to achieve better approximation for the nonhomogeneous and nonlinear terms that leads to facilitate the computational work. Some illustrative linear and nonlinear experiments are given to show the capability and validity of the proposed algorithm.

ASCI-ID: 35-4351

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