Drug release enhanced by temperature: an accurate discrete model for solutions in \(H^3\)

DOI10.1016/j.camwa.2019.08.002zbMath1451.92156OpenAlexW2969769654MaRDI QIDQ2004560

Yanyan Li

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.002

zbMATH Keywords

finite difference methodsheatdrug concentrationfully discrete piecewise linear FEMsecond order convergence rate

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Nonlinear systems of parabolic IBVP: a stable super-supraconvergent fully discrete piecewise linear FEM ⋮ Coupling Temperature with Drug Diffusion: A Second Order Approximation ⋮ Coupling nonlinear electric fields and temperature to enhance drug transport: an accurate numerical tool ⋮ Drug delivery enhanced by ultrasound: mathematical modeling and simulation

Cites Work

• Non-Fickian convection-diffusion models in porous media
• Approximating coupled hyperbolic-parabolic systems arising in enhanced drug delivery
• Strain rate sensitivity of skin tissue under thermomechanical loading
• Supraconvergence and Supercloseness of a Scheme for Elliptic Equations on Nonuniform Grids
• Supraconvergence of a finite difference scheme for solutions in Hs(0, L)

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