Application of Variation Iteration Method to Material Transport Problems in Finite Membranes

Abstract

A mathematical model of the transport material through a membrane of finite thickness via the process of diffusion has been developed. We may consider a membrane in between a donor and a receptor compartment. the cause of an externally applied electric field and concurrent first-order chemical reaction of the diffusion species with sites in the membrane on the diffusion state is examined via the formulation of a time dependant differential equation and its subsequent solution by variational iteration method(VIM). A simple closed form of analytical expression for the concentration profile is derived and compared with the previous results and found to be in good agreement.