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Information Technology Journal

Year: 2010 | Volume: 9 | Issue: 8 | Page No.: 1647-1652
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Authors

Youyun Li

Ziquan Xiang

Xuyu Xiang

Song Wang

Keywords

Research Article

A Computer Algorithm for Optimizing to Extract Effective Diffusion Coefficients of Drug Delivery from Cylinders

Youyun Li, Ziquan Xiang, Xuyu Xiang and Song Wang
In this study, we propose a computer optimization algorithm for estimating effective diffusion coefficients of drug delivery from a cylinder to an external cylindrical finite volume. We first write the diffusion equation in the polar-coordinate form and then a finite difference scheme for the diffusion equation is developed for solving the equation. The diffusion coefficient extraction is formulated as a least squares problem. To solve the lest-squares problem defining the unknown diffusivity, a computer algorithm of Gauss-Newton type is proposed. Numerical results are presented to validate the numerical methods proposed.
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