Open AccessA comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation
Author(s) -
A. Saravanan,
Nanjundan Magesh
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.03.004
Subject(s) - adomian decomposition method , mathematics , decomposition , decomposition method (queueing theory) , carry (investment) , nonlinear system , differential (mechanical device) , differential equation , mathematical analysis , statistics , ecology , physics , finance , quantum mechanics , aerospace engineering , engineering , economics , biology
In this paper, we will carry out a comparative study between the reduced differential transform method and the Adomian decomposition method. This is been achieved by handling the Newell–Whitehead–Segel equation. Two numerical examples have also been carried out to validate and demonstrate efficiency of the two methods. Furthermost, it is shown that the reduced differential transform method has an advantage over the Adomian decomposition method that it takes less time to solve the nonlinear problems without using the Adomian polynomials