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Group theoretic approach for solving the problem of diffusion of a drug through a thin membrane
Faculty
Science
Year:
2002
Type of Publication:
Article
Pages:
1-11
Authors:
Abd-el-Malek, MB, Kassem, MM, Meky, MLM
DOI:
10.1016/S0377-0427(01)00516-7
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
140
Research Area:
Mathematics
ISSN
ISI:000174733100002
Keywords :
drug's equation of the diffusion process, group theoretic method
Abstract:
The transformation group theoretic approach is applied to study the diffusion process of a drug through a skin-like membrane which tends to partially absorb the drug. Two cases are considered for the diffusion coefficient. The application of one parameter group reduces the number of independent variables by one, and consequently the partial differential equation governing the diffusion process with the boundary and initial conditions is transformed into an ordinary differential equation with the corresponding conditions. The obtained differential equation is solved numerically using the shooting method, and the results are illustrated graphically and in tables. (C) 2002 Elsevier Science B.V. All rights reserved.
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