In this paper, the combination of Elzaki transform and Adomian polynomial is used to obtain the approximate analytical solutions of nonlinear Klein Gordon equations. The approximate analytical solutions of all these equations are calculated in series form. In total, four Klein-Gordon equations from mathematical physics were considered to show the performance and effectiveness of this method. A three dimensional graph of solutions of some problems considered were plotted to show the shape of the

more »

... solutions obtained and compared with that given in the references and they were found to agree. By comparing this method with some other known methods, all the problems considered showed that the Elzaki transform method and Adomian polynomial are very powerful and effective integral transform methods in solving some nonlinear equations.