利用同伦正则化算法探讨了二维对流弥散方程的依赖空间变量的弥散系数反演问题.讨论了初始迭代值、数值微分步长、以及收敛精度对算法实现的影响.数值模拟表明,同伦正则化算法对于此类参数反演问题是一种有效的方法.
This paper deals with an inverse problem for determining space-dependent dispersion coefficient in two-dimensional advection-dispersion equation by homotopy regularization algorithm.Several factors affecting the algorithm's realization are discussed which are initial iterations,numerical differential steps and convergence precision.Numerical simulations show that the homotopy regularization algorithm is efficient to the inverse problem discussed here.