An efficient approach to the Klein–Gordon equation: an application of the decomposition method
by M. Inc, M. Ergut, D.J. Evans
International Journal of Simulation and Process Modelling (IJSPM), Vol. 2, No. 1/2, 2006

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.

Online publication date: Sun, 12-Feb-2006

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