Semi-analytical Method to Solve the Non-linear System of Equations to Model of Evolution for Smoking Habit in Spain
Subject Areas : International Journal of Industrial Mathematics
S. Noeiaghdam
1
,
K. Kamal Ali
2
1 - Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, Russian Federation.
2 - Department of Mathematics, Faculty of Science, University of Zakho, Iraq.
Keywords: Non-linear model of smoking habit, Laplace transformation, Homotopy analysis method,
Abstract :
An epidemiological model of smoking habit is studied by using one of flexible and accurate semi-analytical methods. For this reason, the homotopy analysis transform method (HATM) is applied. Convergence theorem is studied and several h-curves are demonstrated to show the convergence regions. Also, the optimal convergence regions are obtained by demonstrating the residual error functions versus h. The numerical tables are presented to show the precision of method.
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