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On the numerical solution of hyperbolic PDEs with variable space operator |
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| Authors: | Allaberen Ashyralyev Mehmet Emir Koksal |
| Institution: | 1. Department of Mathematics, Fatih University, Buyukcekmece, Istanbul 34500, Turkey;2. Department of Mathematics, Gebze Institute of Technology, Gebze, Kocaeli 41400, Turkey;3. Department of Computer Engineering, Halic University, Sisli, Istanbul 34394, Turkey |
| Abstract: | The first and second order of accuracy in time and second order of accuracy in the space variables difference schemes for the numerical solution of the initial‐boundary value problem for the multidimensional hyperbolic equation with dependent coefficients are considered. Stability estimates for the solution of these difference schemes and for the first and second order difference derivatives are obtained. Numerical methods are proposed for solving the one‐dimensional hyperbolic partial differential equation. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2009 |
| Keywords: | difference schemes hyperbolic equation matlab implementation numerical solution stability estimates |