Two-time level ADI finite volume method for a class of second-order hyperbolic problems

作者：Yang, Min^*

来源：Applied Mathematics and Computation, 2010, 215(9): 3239-3248.

DOI：10.1016/j.amc.2009.10.011

• Alternating direction
• Biquadratic basis
• Error estimation
• Finite volume method
• Hyperbolic problem
• Two-time level

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 H(1) norm. Numerical experiments are performed to demonstrate the theoretical findings.

• 出版日期2010-1-1
• 单位烟台大学