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Adomian decomposition method for solving the telegraph equation in charged particle transport
Authors:MA Abdou
Institution:Faculty of Science, Theoretical Research Group, Physics Department, Mansoura University, Mansoura 35516, Egypt
Abstract:In this paper, the analysis for the telegraph equation in case of isotropic small angle scattering from the Boltzmann transport equation for charged particle is presented. The Adomian decomposition is used to solve the telegraph equation. By means of MAPLE the Adomian polynomials of obtained series (ADM) solution have been calculated. The behaviour of the distribution function are shown graphically. The results reported in this article provide further evidence of the usefulness of Adomain decomposition for obtaining solution of linear and nonlinear problems.
Keywords:Telegraph equation  Adomian decomposition  Legendre expansion
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