无解析解表达式的模型方程组中待定参数的计算机估值

Estimation of the Parameters in Equations without Analytic Solution

联合采用最优化技术与数值分析方法,可以有效地解决化学工程中的无解析解表达式的模型方程组中待定参数的估值问题。本文以一组由偏微分方程、常微分方程、代数方程等不同类型方程构成的复杂方程组为例,剖析了这一方法。分析结果表明,这一方法更能准确、迅速地获得所需要的模型参数,而且具有普遍意义。

The method of unitination of optimization technique and numericalanalysis method can efficiently be used to estimate the parameters in equa-tions without analytic solution in chemical engineering.A complex examp-le which was composed of partial differential equation,differential equati-on and algebraic equation was used to discuss this method.The resultsshowed that this method could be used to obtain the needed model para-metets accurately and rapidly,and could be widly used in chemical enginee-ring.