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The Homotopy Analysis Method for Solving the Time-Fractional Fornberg-Whitham Equation and Comparison With Adomian's Decomposition Method

dc.authorid Sakar, Mehmet Giyas/0000-0002-1911-2622
dc.authorscopusid 54945074000
dc.authorscopusid 16309407500
dc.contributor.author Sakar, Mehmet Giyas
dc.contributor.author Erdogan, Fevzi
dc.date.accessioned 2025-05-10T17:22:31Z
dc.date.available 2025-05-10T17:22:31Z
dc.date.issued 2013
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Sakar, Mehmet Giyas; Erdogan, Fevzi] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey en_US
dc.description Sakar, Mehmet Giyas/0000-0002-1911-2622 en_US
dc.description.abstract In this paper, we applied relatively new analytical techniques, the homotopy analysis method (HAM) and the Adomian's decomposition method (ADM) for solving time-fractional Fomberg-Whitham equation. The homotopy analysis method contains the auxiliary parameter, which provides us with a simple way to adjust and control the convergence region of solution series. The fractional derivatives are described in the Caputo sense. A comparison is made the between HAM and ADM results. The present methods performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of the problem are presented. (C) 2013 Elsevier Inc. All rights reserved. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1016/j.apm.2013.03.074
dc.identifier.endpage 8885 en_US
dc.identifier.issn 0307-904X
dc.identifier.issn 1872-8480
dc.identifier.issue 20-21 en_US
dc.identifier.scopus 2-s2.0-84884147645
dc.identifier.scopusquality Q1
dc.identifier.startpage 8876 en_US
dc.identifier.uri https://doi.org/10.1016/j.apm.2013.03.074
dc.identifier.uri https://hdl.handle.net/20.500.14720/10610
dc.identifier.volume 37 en_US
dc.identifier.wos WOS:000326361100017
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Elsevier Science inc en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Homotopy Analysis Method en_US
dc.subject Time-Fractional Fornberg-Whitham Equation en_US
dc.subject Caputo Derivative en_US
dc.subject Adomian'S Decompositon Method en_US
dc.subject Auxiliary Parameter en_US
dc.title The Homotopy Analysis Method for Solving the Time-Fractional Fornberg-Whitham Equation and Comparison With Adomian's Decomposition Method en_US
dc.type Article en_US

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