A note on the Adomian decomposition method for the generalized Huxley equation

摘要

In a recent paper, Ismail et al. [Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations, Appl. Math. Comput. 159 (2004) 291–301] employed the Adomian decomposition method (ADM) to solve, in particular, a generalized nonlinear Huxley equation. The purpose of this note is to correct Ismail et al.’s numerical solutions of the generalized Huxley equation. In addition, a convergence proof of the ADM applied to the generalized Huxley equation is also given.