Parameter identification of solute transport with spatial fractional advection-dispersion equation via Tikhonov regularization

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• 作者：Hui Wei^a ; ^{dudubear2014@126.com" class="auth_mail" title="E-mail the corresponding author} ; Wenjing Dang^a ; Song Wei^b
• 关键词：Parameter identification ; Fractional derivative advection-dispersion equation ; Tikhonov regularization
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：129
• 期：Complete
• 页码：8-14
• 全文大小：771 K

文摘

This paper employs Tikhonov regularization method to estimate the parameters of solute transport in soil with spatial fractional derivative advection-dispersion equation. The estimated parameters include the fractional derivative order, the dispersion coefficient and the average pore-water velocity. Several examples are included to test the presented method, and the method presented is efficient, feasible and easy to develop for the problem whose analytical solutions are difficult to be obtained.