A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation

Document Type : Original Article

Authors

1 Department of Mathematics, Sona College of Technology, Salem 636 005, Tamil Nadu, India

2 Post Graduate and Research Department of Mathematics, Government Arts College (Men), Krishnagiri 635 001, Tamil Nadu, India

http://dx.doi.org/10.1016/j.joems.2013.03.004

Abstract

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

Keywords

Journal of the Egyptian Mathematical Society
Volume 21, Issue 2 - Serial Number 2
August 2013
Pages 259-265

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