河道污染的一维对流-扩散方程源项识别反问题

River Pollution Source Identification Inverse Problem of the Onedimensional Convection-diffusion Equation

针对排污入河的环境问题,提出一维对流-扩散方程源项识别的反问题。首先通过变换将对流-扩散方程转化为扩散方程,然后利用傅里叶变换求解扩散方程的正问题,再将源项识别的反问题转化为优化问题并利用遗传算法求解。仿真结果表明,该方法精度高,计算速度快且易于计算机实现。

Aiming at the problem of sewage into the river in environmental engineering,the inverse problem of one dimensional convection-diffusion equation is proposed.At first,the dimensional convection-diffusion equation is transformed into a diffusion equation,then the solution of the equation is obtained through the Fourier transform,finally the inverse problem of source identification is transformed into optimization problem and solved with genetic algorithm.The numerical results show that the method has high accuracy and quick calculation speed and is easy to implement with computer.