An efficient approach to the Klein–Gordon equation: an application of the decomposition method. (13th February 2006)

• Record Type: Journal Article
• Authors: Inc, M.; Ergut, M.; Evans, D.J.
• Is Part Of: International journal of simulation and process modelling. Volume 2:Number 1/2(2006)
• Page Start: 20
• Page End: 24
• Publication Date: 2006-02-13
• Subjects: Adomian decomposition method -- Adomian polynomials -- Klein–Gordon equation; Management -- Computer simulation -- Periodicals; Mathematical models -- Periodicals; Operations research -- Periodicals; Simulation methods -- Periodicals; 003.05
• Languages: English
• ISSNs: 1740-2123

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.