A thermodynamic-consistent model for the thermo-chemo-mechanical couplings in amorphous shape-memory polymers

L Dai, R Xiao - International Journal of Applied Mechanics, 2021 - World Scientific
Chemically-responsive amorphous shape-memory polymers (SMPs) can transit from the
temporary shape to the permanent shape in responsive to solvents. This effect has been …

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
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 …

Studying a time‐fractional moving boundary diffusion model of solvent through a glassy polymer: A computational approach

M Garshasbi, F Sanaei - International Journal of Numerical …, 2024 - Wiley Online Library
In this article, a time‐fractional nonlinear moving boundary problem is considered to express
the mathematical model of diffusion of a solvent into a glassy polymeric device. A numerical …

On the numerical solution of a class of variable coefficients parabolic moving boundary problems

M Garshasbi, J Sharafi - Journal of Applied Mathematics and Computing, 2023 - Springer
This study deals with a class of variable coefficients second-order parabolic moving
boundary problems. The evolution of the domain is considered to be an unknown function …

On a moving boundary problem associated with the swelling drug release platforms

M Garshasbi, S Malek Bagomghaleh - International Journal of …, 2022 - Taylor & Francis
This paper studies a parabolic-type system of time-dependent partial differential equations
coupled with Robin boundary conditions to model the solvent penetration and subsequently …

Swelling effect of microneedle in the skin drug delivery using Stephan condition: analytical and numerical study

E Azhdari, A Emami - Ricerche di Matematica, 2024 - Springer
In this paper, a system of partial and ordinary differential equations is studied numerically
and theoretically to describe drug delivery to blood vessels through a polymeric microneedle …

Investigation of a drug release moving boundary problem in a swelling polymeric device

M Garshasbi, SM Bagomghaleh - International Journal of Applied and …, 2022 - Springer
This paper considers a drug delivery polymeric device in contact with a solvent as a
nonlinear moving boundary problem. In this problem, the drug concentration and unknown …

A Numerical Schemefor the Probability Density of the First Hitting Time for Some Random Processes

JE Macías-Díaz - Symmetry, 2020 - mdpi.com
Departing from a general stochastic model for a moving boundary problem, we consider the
density function of probability for the first passing time. It is well known that the distribution of …

On a moving boundary problem associated with a mathematical model of breast cancer

B Amini Sefidab, P Reihani - Computational Methods for …, 2024 - cmde.tabrizu.ac.ir
This paper is associated with a nonlinear parabolic moving boundary problem raised from
the mathematical modeling of the behavior of the breast avascular cancer tumors at their first …