Drug release from viscoelastic polymeric matrices -- a stable and supraconvergent FDM

DOI10.1016/j.camwa.2021.08.007OpenAlexW3197244051MaRDI QIDQ2234889

Yanyan Li

Publication date: 19 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.007

zbMATH Keywords

stabilityconvergencedrug releasedissolved drug transportfluid entranceviscoelastic polymeric matrix

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of polymers (82D60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Integro-partial differential equations (35R09)

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• A family of embedded Runge-Kutta formulae
• A new look to non-Fickian diffusion
• A second order approximation for quasilinear non-Fickian diffusion models
• Non-Fickian convection-diffusion models in porous media
• Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
• Supraconvergence and supercloseness in quasilinear coupled problems
• The MATLAB ODE Suite
• A 3D Model for Mechanistic Control of Drug Release
• Drug Release from Viscoelastic Swelling Polymeric Platforms
• An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems
• Sharp Fronts Due to Diffusion and Viscoelastic Relaxation in Polymers

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