IJPAM: Volume 96, No. 4 (2014)

THE MODIFIED VARIATIONAL ITERATION METHOD
FOR SOLVING THE IMPENETRABLE AGAR
MODEL PROBLEM

Ameina S. Nuseir$^2$, Mohammad Al-Towaiq$^2$
$^{1,2}$Department of Mathematics and Statistics
Jordan University of Science and Technology
P.O. Box 3030, Irbid 22110, JORDAN


Abstract. In this paper, we expand the scope of application of the modified variational iteration method (MVIM) to solve the Impenetrable Agar Model Problem. This model represents the propagation of a bacterial exo-enzyme within an impenetrable host material which simulates the manifestations bacteria do on tissue wounds in an infection. The numerical results show that the MVIM is convenient, efficient, and easy to use for the model problem.

Received: December 14, 2013

AMS Subject Classification: 35A15, 74G15, 74H15

Key Words and Phrases: variational iteration method, modified variational iteration method, impenetrable agar model problem, numerical solutions

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DOI: 10.12732/ijpam.v96i4.3 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 4
Pages: 445 - 456


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