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.
| Original language | English |
|---|---|
| Pages (from-to) | 3065-3074 |
| Number of pages | 10 |
| Journal | Computers and Mathematics with Applications |
| Volume | 64 |
| Issue number | 10 |
| DOIs | |
| State | Published - Nov 2012 |
| Externally published | Yes |
Keywords
- Differential transform method
- Fractional differential equations
- Mathematical model
- Smoking dynamics
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