抛物型偏微分方程参数估计中的正交双配置解法──固定床反应器中的传热问题

APPLICATION OF DOUBLE COLLOCATION METHOD IN THE PARAMETER ESTIMATION OF PARTIAL DIFFERENTIAL EQUATIONS

以固定床反应器中的传热问题为例讨论了抛物型偏微分方程中的参数估计问题．提出可通过双配置法在轴径向进行配置，将模型方程化为一组代数方程，并提供了一个两步高斯－牛顿参数估计方案．

The parameter estimation for the parabolic PDEs was discussed in this paper where the heat transfer in a fixed bed was taken as an example.From the presentation it was found that through the double collocation method in both the axial and radial directions the original PDE's could be converted into a set of algebric equations,so that the tedious procedure for PDEs parameter estimation was substituted by the fairly straightforward paramcter estimation for algebric equations.According tO this,a corresponding parameter estimation method termed as a two-step Gauss-Newton procedure was suggested.