A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation

Autores: Hengfei Ding, Yuxin Zhang
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 2, 2009, págs. 626-632
Idioma: inglés
DOI: 10.1016/j.cam.2009.01.001
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Resumen
- In this paper, we propose a three level compact difference scheme of O(t4+h4) for the difference solution of a two-dimensional second-order non-homogeneous linear hyperbolic equation , where a>ß=0. Stability analysis of the method has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.