讨论了二维变系数抛物型方程的参数识别反问题，将其归为最优化问题，指定待定参数的函数类形式，用拟牛顿法来演化待求参数的最优估计值，并将该方法运用于线性扩散方程和具有分段函数系数的二维抛物型方程的参数识别反问题的数值模拟中，数值结果表明拟牛顿法是有效的和可行的。-Discuss parameter identification dimensional variable coefficient parabolic equation inverse problem, which was classified as an optimization problem, specify the class of functions in the form of parameters to be determined, with the quasi-Newton method to estimate the evolution of the optimal parameters of the unknown, and the method parameter identification applied to linear equations and diffusion coefficient D having piecewise parabolic equations numerical simulation of inverse problems for the numerical results show that the quasi-Newton method is effective and feasible.