APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR THE SOLUTION OF CUBIC BOUSSINESQ EQUATION AND BOUSSINESQ-BURGER EQUATION

TitleAPPLICATION OF HOMOTOPY ANALYSIS METHOD FOR THE SOLUTION OF CUBIC BOUSSINESQ EQUATION AND BOUSSINESQ-BURGER EQUATION
Publication TypeJournal Article
Year of Publication2016
AuthorsMEHER, RAMAKANTA, GOHIL, VP
Secondary TitleCommunications in Applied Analysis
Volume20
Issue3
Start Page379
Pagination18
Date Published10/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS35K15, 35L15
Abstract

In this paper, homotopy analysis method is applied to compute the numerical solution of cubic Boussinesq equation and Boussinesq-Burger equation and compared the obtained results with the results obtained by various analytic methods like homotopy perturbation method, Laplace adomian decomposition method, Optimal homotopy asymptotic method and with exact solution. Comparison between our solutions and the exact solution shows that although all the four methods are effective and accurate in solving nonlinear problems but homotopy analysis method is more accurate with less number of iterations as compared to OHAM and other methods.

URLhttp://www.acadsol.eu/en/articles/20/3/9.pdf
DOI10.12732/caa.v20i3.9
Short TitleHomotopy Analysis for the Boussinesq Equation
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

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