期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 64, 期 10, 页码 3065-3074出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2012.02.002
关键词
Fractional differential equations; Mathematical model; Smoking dynamics; Differential transform method
Smoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, the dynamics of a giving up smoking model containing fractional derivatives is studied numerically. The multistep generalized differential transform method (for short MSGDTM) is employed to compute accurate approximate solutions to a giving up smoking model of fractional order. The unique positive solution for the fractional order model is presented. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically. (C) 2012 Elsevier Ltd. All rights reserved.
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