Computational study of Klein-Gordan equation using homotopy analysis method

In this paper, a semi-analytical method, i.e. homotopy analysis is used to find the linear and non-linear Klein–Gordon equation solution. The method very effective, easy calculate. solution has faster convergence than traditional Adomian decomposition can be applied other problems. This method’s efficiency with been illustrated via different examples such as homogeneous linear, inhomogeneous non-linear.