Solving Reaction-Diffusion Equations with the Differential Transformation Method

Abstract

The differential transformation technique (DTM) is used in this study to resolve reaction diffusion equations, both linear and non-linear. We have specified several instances to show how the techniques work and how reliable they are. The known forms of the series solutions allow us to get the precise answers, and we may also obtain the approximate solution by calculating it as a series with readily computable terms. This approach may alleviate computing burdens and is applicable to a wide range of linear and non-linear problems. A comparison is made between the DTM results, the VIM results, and the MATLAB solutions.