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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 8, Pages 1451–1457 (Mi zvmmf4737)  
This article is cited in 11 scientific papers (total in 11 papers)

Solution of Davey–Stewartson equations by homotopy perturbation method

H. A. Zedana, S. Sh. Tantawyb

a Math. Dept., Faculty of Science, Kafr El-Sheikh University, Kafr El-Sheikh, Egypt
b Math. Dept., Faculty of Education, Ain Shams University, Cairo, Egypt
Full-text PDF (1034 kB) Citations (11)
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Abstract: In this paper, we extend the homotopy perturbation method to solve the Davey–Stewartson equations. The homotopy perturbation method is employed to compute an approximation to the solution of the equations. Computation the absolute errors between the exact solutions of the Davey–Stewartson equations and the HPM solutions are presented. Some plots are given to show the simplicity the method.
Key words: differential equations of Davey–Stewartson, method of approximated solution, homotopy perturbation method, computation of absolute errors of the method.
Received: 03.06.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 8, Pages 1382–1388
DOI: https://doi.org/10.1134/S0965542509080089
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: English
Citation: H. A. Zedan, S. Sh. Tantawy, “Solution of Davey–Stewartson equations by homotopy perturbation method”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009), 1451–1457; Comput. Math. Math. Phys., 49:8 (2009), 1382–1388
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:248
    Full-text PDF :90
    References:49
    First page:4
     
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