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Eurasian Mathematical Journal, 2015, Volume 6, Number 1, Pages 65–75 (Mi emj184)  

This article is cited in 2 scientific papers (total in 2 papers)

Homotopy analysis method and homotopy Padé approximants for solving the Fornberg–Whitham equation

H. R. Marasi, A. Pourmostafa Aqdam

Department of Mathematics, University of Bonab, P.O.Box 5551761167, Bonab, Iran
Full-text PDF (542 kB) Citations (2)
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Abstract: In this paper, the homotopy analysis method (HAM) is sharpened to solve the Fornberg–Whitham equation. Homotopy-Padé technique, and the use of proper initial gauss and auxiliary linear operator are employed to accelerate the convergence of approximations. Results demonstrate the power of the HAM equipped with these techniques in increasing the convergence rate and enlarging the region of convergence.
Keywords and phrases: homotopy analysis method, homotopy Padé technique, Fornberg–Whitham equation.
Received: 21.09.2014
Bibliographic databases:
Document Type: Article
MSC: 35A15, 35A25
Language: English
Citation: H. R. Marasi, A. Pourmostafa Aqdam, “Homotopy analysis method and homotopy Padé approximants for solving the Fornberg–Whitham equation”, Eurasian Math. J., 6:1 (2015), 65–75
Citation in format AMSBIB
\Bibitem{MarPou15}
\by H.~R.~Marasi, A.~Pourmostafa Aqdam
\paper Homotopy analysis method and homotopy Pad\'e approximants for~solving the Fornberg--Whitham equation
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 1
\pages 65--75
\mathnet{http://mi.mathnet.ru/emj184}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499100005}
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  • https://www.mathnet.ru/eng/emj/v6/i1/p65
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Eurasian Mathematical Journal
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    Abstract page:290
    Full-text PDF :100
    References:51
     
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