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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2008, Issue 2(17), Pages 13–20
DOI: https://doi.org/10.14498/vsgtu606 (Mi vsgtu606) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Differential Equations

Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative

A. A. Alikhanov

Kabardino-Balkar State University
Full-text PDF (169 kB) Citations (6)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu606
Abstract: Boundary value problems for wave equation with fractional time derivative are studied. А priori estimates for solution of boundary value problems of the first and third kind in differential form are obtained. Difference schemes of the second order approximation are constructed for the mentioned problems. A priori estimate in difference form is obtained for difference scheme approximating the boundary value problem of the first kind.
Keywords: boundary-value problem, prior estimate, difference scheme, firmness and convergence difference scheme, regularized fractional derivative.
Original article submitted 19/VII/2008
revision submitted – 25/IX/2008
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. A. Alikhanov, “Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 13–20
Citation in format AMSBIB
\Bibitem{Ali08}
\by A.~A.~Alikhanov
\paper Difference methods of boundary value problems solution for wave equation equipped with fractional time derivative
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2008
\vol 2(17)
\pages 13--20
\mathnet{http://mi.mathnet.ru/vsgtu606}
\crossref{https://doi.org/10.14498/vsgtu606}
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  • https://www.mathnet.ru/eng/vsgtu/v117/p13
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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