Exact Solutions of Homogeneous Partial Differential Equation by A New Adomian Decomposition Method

Solving homogeneous partial differential equation (PDE) by using the traditional Adomian decomposition method (ADM), we are not able to obtain the zeroth component in most cases. This paper proposes a new ADM to overcome these perplexities. We illustrate advantages of the new ADM by solving some homogeneous PDEs.