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. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS).
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