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

by K.Venugopal, L.Rajendran
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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

@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 },
issue_date = { September 2011 },
volume = { 29 },
number = { 9 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 12-14 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume29/number9/3593-4985/ },
doi = { 10.5120/3593-4985 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:15:20.260175+05:30
%A K.Venugopal
%A L.Rajendran
%T Application of Variation Iteration Method to Material Transport Problems in Finite Membranes
%J International Journal of Computer Applications
%@ 0975-8887
%V 29
%N 9
%P 12-14
%D 2011
%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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Index Terms

Computer Science
Information Sciences

Keywords

Diffusion membranes Diffusion équations Active diffusion Iontophoresis

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