Development of a computational approach for a space–time fractional moving boundary problem arising from drug release systems

This paper presents an iterative procedure based on an implicit finite difference method to solve a mathematical model of drug delivery from a planar matrix with a moving boundary condition. This model includes the diffusion equation with space–time fractional-order derivatives. We establish the sta...

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Bibliographic Details
Published in:Computational & applied mathematics 2021-04, Vol.40 (3), Article 80
Main Authors: Garshasbi, M., Nikazad, T., Sanaei, F.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied physics
Boundary conditions
Computational mathematics
Computational Mathematics and Numerical Analysis
Finite difference method
Iterative methods
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematical models
Mathematics
Mathematics and Statistics
Matrix methods
Perturbation
Stability analysis
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Summary:This paper presents an iterative procedure based on an implicit finite difference method to solve a mathematical model of drug delivery from a planar matrix with a moving boundary condition. This model includes the diffusion equation with space–time fractional-order derivatives. We establish the stability and convergence analysis of the method. We compare the numerical results with the scale-invariant and the homotopy perturbation solutions for different space–time-fractional orders and the problem parameters.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-021-01474-x