On the numerical solution of wave equation

There is various ways for solving differential equations as an exact, approximate and numerical. Most of these methods needs intensive computation because of there is a lot of symbolic and complex computations. Integral transforms like a Laplace and Fourier transforms in solving differential equations are used mostly and usability of these integral transforms, provides a simple and systematic procedures for the solution of algebraic equations. However, using the integral transformation may increase the complexity for non-linear problems. This study includes that mainly Variational Iteration, Differential Transform and Adomian Decomposition solutions of partial differential equations referred to as (2+1) dimensional Dispersive Long Wave Equations. However, we found that the three methods will do a comparison with the results of the analytical solution. The results of our system as a result of these three methods of higher order linear or non-linear initialvalue show that alternative ways of solving problems.