多污染源对流-扩散方程的参数识别反问题

A Parameter Identification Inverse Problem of the Convection Diffusion Equation with More Contaminant Source

研究了多污染源对流-扩散方程参数识别的一种新方法.该方法把参数反问题转化为优化问题,利用正则化迭代法求解控制方程的参数。实例模拟结果表明,该方法具有精度高、收敛速度快且易于编程实现和计算时间少的特点。数值模拟结果与所研究汾河河段的实际水质监测结果基本吻合,表明该方法具有一定的合理性和实用性。

A new method for parameter identification of the convection-diffusion equation with more contaminant sources was proposed. It transforms parameter identification inverse problem into the solution of an optimization problem, using regularized iteration to solve parameters of the control equation. The result of numerical simulation show that the method had higher accuracy and quicker convergence speed than existing method, with easier programing and less computing time. In addition, the results of numerical simulation were in agreement with the results of actual water quality monitoring, showing that the method was reasonable and practical.