对带有边界比例反馈的波动方程构造全离散有限差分格式,通过离散能量方法证明该差分格式在无穷范数意义下关于时间和空间均是二阶收敛的,并且关于初始值和右端项都是无条件稳定的。数值实验验证了理论结果。
The full discretized finite difference scheme is constructed for wave equation with boundary pro- portional feedback. The discretized energy method is employed to show that the difference scheme is twoorder convergent in maximum norm with respect to time and space directions and unconditional stable with respect to initial value and right-hand side term. The numerical experiment verifies the theoretical results.