On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method - Archive ouverte HAL Access content directly
Journal Articles Australian Journal of Basic and Applied Sciences Year : 2011

On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method

Abstract

In the present work, we use the homotopy perturbation method (HPM) to solve the Newell-Whitehead-Segel non-linear differential equations. Four case study problems of Newell-Whitehead-Segel are solved by the HPM and the exact solutions are obtained. The trend of the rapid convergence of the sequences constructed by the method toward the exact solution is shown numerically. As a result the rapid convergence towards the exact solutions of HPM indicates that, using the HPM to solve the Newell-Whitehead-Segel non-linear differential equations, a reasonable less amount of computational work with acceptable accuracy may be sufficient. Moreover the application of the HPM proves that the method is an effective and simple tool for solving the Newell-Whitehead-Segel non-linear differential equations.
Fichier principal
Vignette du fichier
1400-1411.pdf (362.56 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01280063 , version 1 (15-03-2016)

Licence

Open licence - etalab

Identifiers

Cite

S. Salman Nourazar, Mohsen Soori, Akbar Nazari-Golshan. On The Exact Solution of Newell-Whitehead-Segel Equation Using the Homotopy Perturbation Method. Australian Journal of Basic and Applied Sciences, 2011, 5 (8), pp.1400-1411. ⟨hal-01280063⟩
120 View
129 Download

Altmetric

Share

Gmail Facebook X LinkedIn More