Abstract
In the present paper the initial-boundary value problem for multidimensional hyperbolic equation with Dirichlet condition is considered. The third and fourth orders of accuracy difference schemes for the approximate solution of this problem are presented and the stability estimates for the solutions of these difference schemes are obtained. Some results of numerical experiments are presented in order to support theoretical statements. © 2013 Springer-Verlag.
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Ashyralyev, A., & Yildirim, O. (2013). High order accurate difference schemes for hyperbolic IBVP. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8236 LNCS, pp. 174–181). https://doi.org/10.1007/978-3-642-41515-9_17
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