A comparison of Haar wavelet and Adomain decomposition method for solving one-dimensional reaction-diffusion equations

Abstract

Reaction-diffusion equations are fundamental in modeling several natural phenomena. In this paper, we develop an accurate and efficient Haar wavelet scheme for solving well-known one-dimensional reaction-diffusion equation. The power of this manageable method is confirmed. An attempt is made to combine the advantages of the ADM and Haar wavelets. The obtained numerical results have been validated against a closed form analytical solution as well as ADM results. Good agreement with the exact solution has been observed. Moreover the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, small computation costs and computationally attractive.