An application for linear and nonlinear heat equations by Adomian's decomposition method

The particular exact solutions of a linear heat equation, and a nonlinear heat equation that usually arises in mathematical biology are obtained in both x and t directions using Adomian's decomposition method. In addition, numerical comparison of particular solutions in the decomposition method for linear and nonlinear problems indicates that there is a good agreement between the numerical solutions and particular exact solutions in terms of accuracy and efficiency.