1. A numeric–analytic method for approximating a giving up smoking model containing fractional derivatives
- Author
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Ertürk, Vedat Suat, Zaman, Gul, and Momani, Shaher
- Subjects
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NUMERICAL analysis , *APPROXIMATION theory , *SMOKING , *FRACTIONAL calculus , *MATHEMATICAL transformations , *COMPARATIVE studies , *RUNGE-Kutta formulas , *MATHEMATICAL models - Abstract
Abstract: 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. [Copyright &y& Elsevier]
- Published
- 2012
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