Title: An efficient approach to the Klein–Gordon equation: an application of the decomposition method

Authors: M. Inc, M. Ergut, D.J. Evans

Addresses: Department of Mathematics, Firat University, 23119 Elazig, Turkey. ' Department of Mathematics, Firat University, 23119 Elazig, Turkey. ' Algorithms and Architecture Research Centre, Department of Computer Sciences, Loughborough University, Loughborough, Leics, LE11 3TU, UK

Abstract: In this paper, we study a reliable numerical approximation of the linear and non-linear Klein–Gordon equations by using the Adomian|s decomposition method. The solution is calculated in the form of a series with easily computable components. We prove the convergence of this method applied to the non-linear Klein–Gordon equation. The numerical results demonstrate the effectiveness of the method for these types of equations.

Keywords: Adomian decomposition method; Adomian polynomials; Klein–Gordon equation.

DOI: 10.1504/IJSPM.2006.009008

International Journal of Simulation and Process Modelling, 2006 Vol.2 No.1/2, pp.20 - 24

Published online: 12 Feb 2006 *

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