THE FINITE DIFFERENCE METHOD FOR THE INITIAL-BOUNDARY-VALUE PROBLEM OF THE EQUATION
方程u_(tt)=u_(xxt)+f(u_x)_x初边值问题的差分法

The finite difference method is considered for.the following initial-boundary- Value problem: where j(s), (x) and (x) are given functions; QT = 0, 1]× 0, T]. The convergence of the finite difference schemes is verified by discrete functional analysis methods and prior estimation techniques.