Integro-differential models for percutaneous drug absorption

DOI10.1080/00207160701210091zbMath1122.65129OpenAlexW2070990147WikidataQ60368649 ScholiaQ60368649MaRDI QIDQ5297937

Sílvia Barbeiro, José Augusto Ferreira

Publication date: 16 July 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/8978

zbMATH Keywords

stabilityconvergencenumerical experimentsconservation lawimplicit Euler methodsemi-discretizationsadvection-diffusion equationsintegro-differential modelFick's lawsupraconvergenceconcentration gradientpercutaneous drug absorptiondrug concentration distribution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (9)

A numerical approach for solving an extended Fisher-Kolomogrov-Petrovskii-Piskunov equation ⋮ \(H^{1}\)-second order convergent estimates for non-Fickian models ⋮ Long time behavior of non-Fickian delay reaction-diffusion equations ⋮ Coupled vehicle-skin models for drug release ⋮ Laplace transform -- finite element method for non Fickian flows ⋮ Supraconvergence and supercloseness in Volterra equations ⋮ Non-Fickian delay reaction-diffusion equations: theoretical and numerical study ⋮ Localized boundary-domain integro-partial differential formulations for transient scalar transport problems ⋮ On the stability of a class of splitting methods for integro-differential equations

Cites Work

• Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity
• Heat waves
• Qualitative behavior of numerical traveling solutions for reaction–diffusion equations with memory

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