Abstract
This paper consists in studying a mathematical model of solvent diffusion through the glassy polymers as a one‐dimensional moving boundary problem with kinetic undercooling. We establish an iterative variable time‐step method based on a nonstandard finite difference (NSFD) scheme to solve the considered moving boundary problem. The monotonicity and positivity of the numerical solution are proved. The numerical approach is investigated for three test problems composed of constant and inconstant diffusion coefficients for different values of parameters to demonstrate the validity and ability of the method.
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