Coupled Laplace-Decomposition Method for Solving Klein- Gordon Equation
Partial differential equation
Klein - Gordon equation
Laplace transformation and
decomposition method.
In this paper, we consider a new approach to solve type of partial differential equation by using coupled Laplace transformation with decomposition method to find the exact solution for non–linear non–homogenous equation with initial conditions. The reliability for suggested approach illustrated by solving model equations such as second order linear and nonlinear Klein–Gordon equation. The application results show the efficiency and ability for suggested approach.
