The solution of Klein–Gordon equation by using modified Adomian decomposition method

Jeerawan Saelao and Natsuda Yokchoo

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 171, issue C, 94-102

Abstract: In this paper, a modification of Adomian decomposition method is used to find a solution of linear and nonlinear Klein–Gordon equation. The modified Adomian decomposition method is based conventional Adomian decomposition method that requires calculation of the first Adomian polynomial. This method is very effective, easy to calculate, solution has faster convergence than traditional Adomian decomposition method and can be applied to other nonlinear problems. The demonstration of the efficiency of this method with Klein–Gordon equation has been illustrated via four examples such as homogeneous linear, inhomogeneous linear and nonlinear.

Keywords: Klein–Gordon equation; Adomian decomposition method; Modified Adomian decomposition method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:171:y:2020:i:c:p:94-102

DOI: 10.1016/j.matcom.2019.10.010

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