Numerical solution of non-linear Klein–Gordon equations by variational iteration method

In this paper, numerical solution of non-linear Klein–Gordon equations with power law non-linearities are obtained by the new application of He’s variational iteration method. Numerical illustrations that include non-linear Klein–Gordon equations and non-linear partial differential equations are investigated to show the pertinent features of the technique.

non-linear partial differential equations; non-linear Klein–Gordon equation; variational iteration method