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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.