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Erturk, Vedat, Zaman, Gul, Alzalg, Baha, Zeb, Anwar, Momani, Shaher. (1394). Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative. , (), -. doi: 10.22099/ijsts.2015.3235
Vedat Erturk; Gul Zaman; Baha Alzalg; Anwar Zeb; Shaher Momani. "Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative". , , , 1394, -. doi: 10.22099/ijsts.2015.3235
Erturk, Vedat, Zaman, Gul, Alzalg, Baha, Zeb, Anwar, Momani, Shaher. (1394). 'Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative', , (), pp. -. doi: 10.22099/ijsts.2015.3235
Erturk, Vedat, Zaman, Gul, Alzalg, Baha, Zeb, Anwar, Momani, Shaher. Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative. , 1394; (): -. doi: 10.22099/ijsts.2015.3235

Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative

Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 آبان 1394
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3235
نویسندگان
Vedat Erturk* 1؛ Gul Zaman2؛ Baha Alzalg3؛ Anwar Zeb4؛ Shaher Momani5
1Ondokuz Mayis University
2Department of Mathematics, Abdul Wali Khan University Mardan KPK Pakistan
3University of Jordan · Department of Mathematics
4Department of Mathematics COMSATS Institute of Information Technology, Abbottabad, KPK Pakistan
5The University of Jordan
چکیده
In a recent paper [1], the authors presented a new model of giving up smoking model. In the present paper, the dynamics of this new model involving the Caputo derivative was studied numerically. For this purpose, generalized Euler method and the multistep generalized differential transform method are employed to compute accurate approximate solutions to this new giving up smoking model of fractional order. The unique positive solution for the fractional order model is presented. A comparative study between these two methods and the well known Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically.
کلیدواژه‌ها
Generalized Euler method؛ Differential transform method؛ Caputo fractional derivative؛ Smoking dynamics؛ Numerical solution
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