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Application of Variation Iteration Method to Material Transport Problems in Finite Membranes
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 29 - Number 9 |
| Year of Publication: 2011 |
| Authors: K.Venugopal, L.Rajendran |
10.5120/3593-4985
|
K.Venugopal, L.Rajendran . Application of Variation Iteration Method to Material Transport Problems in Finite Membranes. International Journal of Computer Applications. 29, 9 ( September 2011), 12-14. DOI=10.5120/3593-4985
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.
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