带吸收边界条件的声波方程显式差分格式的稳定性分析

It is well known that in numerical computations of wave equations by utilizing explicit schemes the stability is an extremely important problem when artifi- ctal boundaries are introduced and absorbing boundary conditions are imposed on them. In this paper, the stability of finite difference schemes for the acoustic wave equation with the first- and the second-order Clayton- Engquist - Majda absorbing boundary conditions is discussed by using energy techniques The corresponding stability conditions (i.e., the stability bounds of the CFL number) are given, which is sharper than those stability conditions for interior schemes or other kinds of boundary conditions. Numerical results are presented to confirm the correctness of the theoretical analysis.