Abstract
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 Padé and Laplace-Padé 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-Padé resummation method generates the best results for the complete domain.
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Communicated by Antonio José Silva Neto.
H. Vazquez-Leal gratefully acknowledge the financial support provided by the National Council for Science and Technology of Mexico (CONACyT) through grant CB-2010-01 #157024 and PROMEP-Red: “Instrumentacin-de-Sensores-para-aplicaciones-de-Fisiologa-y-Biomedicina”. In addition, the first author would like to thank Rogelio-Alejandro Callejas-Molina and Roberto Ruiz-Gomez for their contribution to this work. F. Guerrero would like to thank the financial support by the Universitat de València Grant UV-INV-PRECOMP12-80708.
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Vazquez-Leal, H., Guerrero, F. Application of series method with Padé and Laplace-Padé resummation methods to solve a model for the evolution of smoking habit in Spain. Comp. Appl. Math. 33, 181–192 (2014). https://doi.org/10.1007/s40314-013-0054-2
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DOI: https://doi.org/10.1007/s40314-013-0054-2