Application of series method with Pad, and Laplace-Pad, resummation methods to solve a model for the evolution of smoking habit in Spain

作者：Vazquez Leal Hector^*; Guerrero Francisco

来源：Computational and Applied Mathematics, 2014, 33(1): 181-192.

DOI：10.1007/s40314-013-0054-2

• Smoking habit
• Series method
• Pade
• Laplace-Pade

We obtain approximated analytical solutions of a mathematical model of the evolution of smoking habit in Spain (Guerrero et al. in Int J Drug Policy 22:247-251, 2011) using the series method. To enlarge the domain of convergence, we apply the Pad, and Laplace-Pad, resummation methods to the series solution. We present a comparison of our results and a solution obtained using homotopy analysis method (Guerrero et al. in Nonlinear Anal Real World Appl 14:549-558, 2013b), resulting that the combination of series method with Laplace-Pad, resummation method generates the best results for the complete domain.

• 出版日期2014-4