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Vector additive schemes for certain classes of hyperbolic equations
Shkhanukov-Lafishev, M. H. , Arhestova S. M. , Tkhamokov M. B.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.
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.
Keywords: wave equation, the equation of storage, stability, convergence, a priori estimate, viscosity, thermal conductivity, approximation error.
Language: Russian Download the full text
For citation: Shkhanukov-Lafishev M. H., Arhestova S. M., Tkhamokov M. B. Vector additive schemes for certain classes of hyperbolic equations† // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 1, pp.71-84. DOI 10.23671/VNC.2013.1.10510
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