Numerical inversion of diffusion coefficient by optimal perturbation regularization algorithm

This paper deals with numerical inversions for a diffusion coefficient in 1-D transport model by an optimal perturbation regularization algorithm. Several factors affecting the algorithm´ realization are discussed which are basis functions, numerical differential steps, initial iterations, and data noises. The numerical inversion results show that the optimal perturbation algorithm is of numerical stability, and it is an efficient method to the inverse problems of parameter identification.