Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator |
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| Authors: | Allaberen Ashyralyev |
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| Affiliation: | a Department of Mathematics, Fatih University, Buyukcekmece, Istanbul, Turkey
b Department of Mathematics, Uludag University, Gorukle, Bursa, Turkey |
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| Abstract: | In the present paper the first and second orders of accuracy difference schemes for the numerical solution of multidimensional hyperbolic equations with nonlocal boundary and Dirichlet conditions are presented. The stability estimates for the solution of difference schemes are obtained. A method is used for solving these difference schemes in the case of one dimensional hyperbolic equation. |
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| Keywords: | Hyperbolic equation Nonlocal boundary value problems Stability |
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