A FORTRAN-77 program is presented which solves the Sturm-Liouville problem for a system of coupled second-order differential equations by the finite difference method of the seco~idorder using the iterative Richardson extrapolation of the difference eigensolutions on a sequence of doubly condensed m
Finite dose percutaneous drug absorption: A BASIC program for the solution of the diffusion equation
✍ Scribed by Kiyoshi Kubota
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 622 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0010-4809
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✦ Synopsis
A BASIC program to obtain the solution for the diffusion equation describing the finite dose percutaneous absorption pharmacokinetics is shown. Drug amount in the solution matrix, Av, that in the skin which is regarded as a simple diffusion membrane. As, and the drug flux from the skin which is provided by the local circulation per unit area, J, and the blood drug concentration. C, expressed as functions of time are obtained using Fourier series. Usually, a small number (less than 10) of series is enough to obtain the accurate values for Av, As, J, and C. It is also shown that the solution of the diffusion equation reported previously for the specific case where both the diffusion coefficient of a drug through the vehicle and skin-capillary clearance are very large is expressed as a limit.
📜 SIMILAR VOLUMES
A new high order FV method is presented for the solution of convection±diusion equations, based on a 4-point approximation of the diusive term and on the de®nition of a quadratic pro®le for the approximation of the convective term, in which coecients are obtained by imposing conditions on the trunca
## Abstract It is a well‐known phenomenon called superconvergence in the mathematical literature that the error level of an integral quantity can be much smaller than the magnitude of the local errors involved in the computation of this quantity. When discretizing an integrated form of Fick's secon