Adomian decomposition method for Burger's-Huxley and Burger's-Fisher equations

The approximate solutions for the Burger's-Huxley and Burger's-Fisher equations are obtained by using the Adomian decomposition method [Solving Frontier Problems of Physics: the Decomposition Method, Kluwer, Boston, 1994]. The algorithm is illustrated by studying an initial value problem. The obtained results are presented and only few terms of the expansion are required to obtain the approximate solution which is found to be accurate and efficient. © 2003 Elsevier Inc. All rights reserved.