Integro-differential models for percutaneous drug absorption

Authors:
S. Barbeiro;J. A. Ferreira
Affiliations:
Departamento de Matemática, Faculdade de Ciências e Tecnologia, Coimbra, Portugal;Departamento de Matemática, Faculdade de Ciências e Tecnologia, Coimbra, Portugal
Venue:
International Journal of Computer Mathematics
Year:
2007

Citing 1
Cited 5

Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation

Applied Numerical Mathematics

On the stability of a class of splitting methods for integro-differential equations

Applied Numerical Mathematics
A numerical approach for solving an extended Fisher-Kolomogrov-Petrovskii-Piskunov equation

Journal of Computational and Applied Mathematics
Non-Fickian delay reaction--diffusion equations: Theoretical and numerical study

Applied Numerical Mathematics
H1-second order convergent estimates for non-Fickian models

Applied Numerical Mathematics
Supraconvergence and supercloseness in Volterra equations

Applied Numerical Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we propose new mathematical models for percutaneous absorption of a drug. The new models are established by introducing, in the classical Fick's law, a memory term being the advection-diffusion equations of the classical models replaced by integro-differential equations. The well-posedness of the models is studied with Dirichlet, Neumann and natural boundary conditions. Methods for the computation of numerical solutions are proposed. Stability and convergence of the introduced methods are studied. Finally, numerical simulations illustrating the behaviour of the model are included.