2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics


Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 2 No. 1
A Non-standard Numerical Method for a Giving-up Smoking Model
G. Zaman1, S. Islam2
1. Department of Mathematics, University of Malakand, Chakdara Dir (Lower),
    Khyber Pukhtoonkhwa, Pakistan
2. Department of Mathematics, CIIT, H-8/1, Islamabad 44000, Pakistan
Abstract: Smoking has been linked to many health issues; bronchitis, emphysema, impotence, lung cancer, mouth diseases, stroke, and heart disease that can lead to a variety of problems. The one thing all of these issues have in common is that they can all be stopped, if not cured, simply by quitting cigarettes. The main goal of this paper is to consider first a mathematical model using for giving up smoking and develop a non-standard numerical scheme. Then show that this numerical scheme preserves the positivity of the continuous model and apply to approximate the solution.

Keywords: Mathematical model; smoking dynamics; non-standard scheme

Biographical Notes:

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