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

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Last updated: 31 Dec 2024

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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

DOI

10.1016/j.joems.2013.03.004

Keywords

The reduced differential transform method, The Adomian decomposition method, The Newell–Whitehead– Segel equation

Authors

First Name

A.

Last Name

Saravanan

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Affiliation

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

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First Name

N.

Last Name

Magesh

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Affiliation

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

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Volume

21

Article Issue

2

Related Issue

50482

Issue Date

2013-08-01

Receive Date

2024-09-23

Publish Date

2013-08-01

Page Start

259

Page End

265

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 2_Pages 259-265.pdf

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Link

https://joems.journals.ekb.eg/article_381217.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381217

Order

381,217

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

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

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Article

Created At

21 Dec 2024