Copyright © 2011 Allaberen Ashyralyev and Necmettin Aggez. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The stable difference schemes for the approximate solution of the nonlocal
boundary value problem for multidimensional hyperbolic equations with dependent
in space variable coefficients are presented. Stability of these difference
schemes and of the first- and second-order difference derivatives is obtained.
The theoretical statements for the solution of these difference schemes for one-dimensional
hyperbolic equations are supported by numerical examples.