Development of a computational approach for a space–time fractional moving boundary problem arising from drug release systems
M Garshasbi, T Nikazad, F Sanaei - Computational and Applied …, 2021 - Springer
M Garshasbi, T Nikazad, F Sanaei
Computational and Applied Mathematics, 2021•SpringerThis 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.
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.
Abstract
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.
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