| Subject |
Problems involving operators with nonlocal boundary conditions |
| Title |
On the nonlocal boundary value problem for semilinear hyperbolic equations |
| Author(s) |
Allaberen Ashyralyev, Necmettin Aggez |
| Keywords |
difference scheme, semilinear hyperbolic equations |
| Abstract |
In this work, we study the nonlocal boundary value problem for a semilinear hyperbolic equation. Under the compability conditions and sufficiently smooth assumption for given data, the theorem on existence uniqueness is established. The first and second order of accuracy difference schemes for the approximate solution of these problems are presented. The convergence estimates for the solution of these difference schemes are obtained. Finally, these difference schemes applied to the one dimensional nonlinear hyperbolic equations. |
