期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2014
卷号：2014
DOI：10.5899/2014/jiasc-00064
出版社：ISPACS GmbH
摘要：We obtain approximate analytical solutions of two mathematical models of the dynamics of tobacco use and relapse including peer pressure using the homotopy perturbation method (HPM) and the homotopy analysis method (HAM). To enlarge the domain of convergence we apply the Padé approximation to the HPM and HAM series solutions. We show graphically that the results obtained by both methods are very accurate in comparison with the numerical solution for a period of 30 years.
关键词：Dynamics of tobacco; homotopy perturbation method; homotopy analysis method
