Article ID Journal Published Year Pages File Type
4632395 Applied Mathematics and Computation 2010 10 Pages PDF
Abstract

In this paper, we develop a two-time level alternating direction implicit (ADI) method for a class of second-order hyperbolic problems on a rectangular domain. The method builds on the finite volume method with biquadratic basis functions for the discretization in space, and a Crank–Nicolson approach for the time stepping. We obtain a second-order error estimation in the H1H1 norm. Numerical experiments are performed to demonstrate the theoretical findings.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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