High Accuracy Difference Schemes For The Forced Vibration Wave Equation

In this paper, finite difference numerical methods for the forced vibration wave equation(?)-C~2(?)+f(x,t)=0 have been studied. Firstly, difference schemes with two parameters are presented for solving the equation of one-dimensional and second-order for homogeneouswave equation(?)=C~2(?).The orders of local discretization error and stabilities and convergences are different with different parameters. Then the method is applied to the forced vibration wave equation. The orders of local discretization error is O(τ~4+h~4) withβ=θ=(?). Meanwhile, the corresponding numerical experiments are made to confirm their feasibility.