Solution of linear homogeneous partial differential equations by new sumudu variational iteration method

In this work we propose a combined Sumudu transform (ST) and the variational iteration method (VIM) to solve linear homogeneous partial differential equations. The elegant coupling is called the Sumudutrans form variational iteration method (STVIM).A general Lagrange multiplier is used to construct a correction functional, which can be identified via variational theory. The solutions of these examples are contingent only on the initial conditions. The method is elegant and reliable.