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On the Numerical Solution of Multipoint NBVP for Hyperbolic Equation with Integral and Neumann Conditions

Allaberen Ashyralyev, Necmettin Aggez

Abstract


A nonlocal boundary value problem with nonlocal integral and Neumann conditions for multi-dimensional hyperbolic equations with dependent in space variable coefficients is considered. Stable difference schemes for the approximate solution of this nonlocal boundary value problem are presented. Stability of these difference schemes and of the first and second orders difference derivatives are obtained. The theoretical statements are supported by numerical examples.

Keywords


stability, hyperbolic equations, difference schemes, nonlocal conditions.

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