One-dimensional and two-dimensional heat transfer mathematic model of the parabolic trough solar collector are a set of nonlinear algebra equations. In order to promote the stability and accuracy of the solution, the calculation of the heat transfer model of the parabolic trough solar energy collector is treated as constrained optimum problem, the energy conservation equations and heat transfer equations are converted into optimization model, the optimization model is solved by using fmincon function in MATLAB optimization tool box. The influences of heat transfer fluid inlet temperature and solar radiation flux to heat collector coefficient are analyzed. The solution of heat collector heat transfer process is faster and more stable by using fmincon function. Results show that the variation of heat transfer fluid inlet temperature plays more important role on heat collector coefficient than that of the variation of solar radiation flux.