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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, 2017, Volume 21, Number 2, Pages 221–235
DOI: https://doi.org/10.14498/vsgtu1534 (Mi vsgtu1534) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differential Equations and Mathematical Physics

Finite-difference method for solving Tricomi problem for the Lavrent'ev–Bitsadze equation

Zh. A. Balkizov, A. A. Sokurov

Institute of Applied Mathematics and Automation, Nalchik, 360000, Russian Federation
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1534
Abstract: In this paper we obtain an a priori estimate for solution of Tricomi problem for the Lavrent'ev–Bitsadze equation, from which the uniqueness of regular solution follows. Presented a numerical finite-difference method for solving the investigated problem. We obtain an a priori estimate for solution of the difference scheme, from which follows the second-order convergence.
Keywords: equation of mixed type, Tricomi problem, a priori estimate, difference scheme, order of approximation, method of energy inequalities.
Received: March 20, 2017
Revised: May 7, 2017
Accepted: June 12, 2017
First online: July 10, 2017
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65M06, 65M12
Language: Russian
Citation: Zh. A. Balkizov, A. A. Sokurov, “Finite-difference method for solving Tricomi problem for the Lavrent'ev–Bitsadze equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017), 221–235
Citation in format AMSBIB
\Bibitem{BalSok17}
\by Zh.~A.~Balkizov, A.~A.~Sokurov
\paper Finite-difference method for solving Tricomi problem for the Lavrent'ev--Bitsadze equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 2
\pages 221--235
\mathnet{http://mi.mathnet.ru/vsgtu1534}
\crossref{https://doi.org/10.14498/vsgtu1534}
\zmath{https://zbmath.org/?q=an:06964670}
\elib{https://elibrary.ru/item.asp?id=30039925}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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