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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 71–84 (Mi vmj452)  
Vector additive schemes for certain classes of hyperbolic equations

M. H. Shkhanukov-Lafisheva, S. M. Arhestovab, M. B. Tkhamokova

a Kabardino-Balkar State University, Faculty of Mathematics, Russia, Nal'chik
b Pedagogical College, Kabardino-Balkar State University, Russia, Nal'chik
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Abstract: Vector-additive schemes for certain classes of hyperbolic equations arising in the theories of moisture transport and waves in relaxing media are constructed. Stability and convergence of difference schemes in the class of sufficiently smooth solutions are proved.
Key words: wave equation, the equation of storage, stability, convergence, a priori estimate, viscosity, thermal conductivity, approximation error.
Received: 01.06.2011
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. H. Shkhanukov-Lafishev, S. M. Arhestova, M. B. Tkhamokov, “Vector additive schemes for certain classes of hyperbolic equations”, Vladikavkaz. Mat. Zh., 15:1 (2013), 71–84
Citation in format AMSBIB
\Bibitem{ShhArkTkh13}
\by M.~H.~Shkhanukov-Lafishev, S.~M.~Arhestova, M.~B.~Tkhamokov
\paper Vector additive schemes for certain classes of hyperbolic equations
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 1
\pages 71--84
\mathnet{http://mi.mathnet.ru/vmj452}
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