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Multilevel computations of dispersed drug release
Author(s) -
Zhao Wei,
Pelinovsky Dmitry E.
Publication year - 2013
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21761
Subject(s) - computation , finite element method , diffusion , swelling , mathematics , partial differential equation , drug delivery , computer science , mathematical optimization , algorithm , materials science , mathematical analysis , thermodynamics , physics , nanotechnology , composite material
Abstract We study a mathematical model of drug release from controlled delivery systems with initial drug loading higher than solubility. The model combines dissolution, diffusion, swelling, and erosion mechanisms of drug delivery. Multilevel methods are introduced to solve the governing system of diffusion equations numerically with better accuracy and lower computational costs compared with the finite element methods. Numerical examples are given to demonstrate the advantages of the multilevel methods. Numerical solutions are compared to exact and approximate solutions of the reduced models. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013