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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 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

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.

UDC: 519.633

Received: 01.06.2011



© Steklov Math. Inst. of RAS, 2025