Approximating coupled hyperbolic-parabolic systems arising in enhanced drug delivery

DOI10.1016/J.CAMWA.2018.04.005zbMath1419.65019OpenAlexW2802980646WikidataQ58205263 ScholiaQ58205263MaRDI QIDQ2001655

L. Pinto, D. Jordão, José Augusto Ferreira

Publication date: 11 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.005

zbMATH Keywords

ultrasounddrug deliveryhyperbolic-parabolic systemsuperconvergent FEMsupraconvergent FDM

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) 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) Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (6)

Nonlinear systems of parabolic IBVP: a stable super-supraconvergent fully discrete piecewise linear FEM ⋮ Drug delivery to the anterior segment of the eye enhanced by ultrasound -- modeling and simulation ⋮ Drug release enhanced by temperature: an accurate discrete model for solutions in \(H^3\) ⋮ Numerical analysis of a porous-elastic model for convection enhanced drug delivery ⋮ Drug delivery enhanced by ultrasound: mathematical modeling and simulation ⋮ A numerical scheme for a partial differential system motivated by light-triggered drug delivery

Cites Work

• Unnamed Item
• \(H^{1}\)-second order convergent estimates for non-Fickian models
• On an acoustics-thermal-fluid coupling model for the prediction of temperature elevation in liver tumor
• Supraconvergence and supercloseness in Volterra equations
• Second order approximations for kinetic and potential energies in Maxwell's wave equations
• Supraconvergence and supercloseness in quasilinear coupled problems
• Applications of Acoustics and Cavitation to Noninvasive Therapy and Drug Delivery
• Supraconvergence and Supercloseness of a Scheme for Elliptic Equations on Nonuniform Grids
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Supraconvergence of a finite difference scheme for solutions in Hs(0, L)

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