An embedding approach to multilayer diffusion problems with time-dependent boundaries on bounded and unbounded domains
Publication Name
Applied Mathematical Modelling
Abstract
A general multilayer diffusion problem subject to inhomogeneous boundary conditions with time-dependent boundaries is considered. The embedding method is used to find the analytical solution, which is expressed in terms of time-dependent functions that satisfy a system of linear Volterra integral equations of the first kind. A boundary element method is developed to numerically solve the integral equations and results of numerical simulations are presented. The proposed approach is applicable to multilayer diffusion problems defined on bounded and unbounded spatial domains.
Open Access Status
This publication may be available as open access
Volume
129
First Page
275
Last Page
296