A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation
Saravanan, A., Magesh, N. (2013). A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation. EKB Journal Management System, 21(2), 259-265. doi: 10.1016/j.joems.2013.03.004
A. Saravanan; N. Magesh. "A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation". EKB Journal Management System, 21, 2, 2013, 259-265. doi: 10.1016/j.joems.2013.03.004
Saravanan, A., Magesh, N. (2013). 'A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation', EKB Journal Management System, 21(2), pp. 259-265. doi: 10.1016/j.joems.2013.03.004
Saravanan, A., Magesh, N. A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell–Whitehead–Segel equation. EKB Journal Management System, 2013; 21(2): 259-265. doi: 10.1016/j.joems.2013.03.004

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

Journal of the Egyptian Mathematical Society
Volume 21, Issue 2, August 2013, Page 259-265  XML PDF (1.09 MB)
Document Type: Original Article
DOI: 10.1016/j.joems.2013.03.004
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Authors
A. Saravanan1; N. Magesh2
1Department of Mathematics, Sona College of Technology, Salem 636 005, Tamil Nadu, India
2Post Graduate and Research Department of Mathematics, Government Arts College (Men), Krishnagiri 635 001, Tamil Nadu, India
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
The reduced differential transform method; The Adomian decomposition method; The Newell–Whitehead– Segel equation
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