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用差分法对非线性Schrodinger-Boussinesq方程的初边值问题构造了近似计算格式,并得到了近似解的误差估计,还进一步论证了近似吸引子的存在性和关于原问题吸引子的上半连续性. “,”The initial boundary value problem of nonlinear Schrodinger-Boussinesq equation with weak damping is discretized by finite difference method. The error-estimate of numerical solution is established, and the existence of the approximate attractor and its upper-semicontinuity are proved.