Research Article
Application of Variation Iteration Method to Material Transport Problems in Finite Membranes
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 29 - Issue 9 |
| Published: September 2011 |
| Authors: K.Venugopal, L.Rajendran |
10.5120/3593-4985
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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
@article{ 10.5120/3593-4985,
author = { K.Venugopal,L.Rajendran },
title = { Application of Variation Iteration Method to Material Transport Problems in Finite Membranes },
journal = { International Journal of Computer Applications },
year = { 2011 },
volume = { 29 },
number = { 9 },
pages = { 12-14 },
doi = { 10.5120/3593-4985 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2011
%A K.Venugopal
%A L.Rajendran
%T Application of Variation Iteration Method to Material Transport Problems in Finite Membranes%T
%J International Journal of Computer Applications
%V 29
%N 9
%P 12-14
%R 10.5120/3593-4985
%I Foundation of Computer Science (FCS), NY, USA
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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