Differential Transformation Method and Variation Iteration Method for Cauchy Reaction-diffusionProblems

In this chapter, we will compare the differential transform method (DTM) and variational iteration method (VIM) for solving the one-dimensional, time dependent reaction-diffusion equations. Different cases of the equation are discussed and analytical solution in series form can be derived. The results obtained by the proposed method (DTM) are compared with the results obtained by (VIM). Some examples are presented to show the ability of the methods for such problems