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Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives
- Source :
- Iranian Journal of Science and Technology, Transactions A: Science. 41:569-575
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
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Abstract
- Alzalg, Baha/0000-0002-1839-8083; Momani, Shaher M./0000-0002-6326-8456; WOS: 000413785300005 In a recent paper (Zeb et al. in Appl Math Model 37(7):5326-5334, 2013), 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.
- Subjects :
- Caputo fractional derivative
Numerical solution
General Mathematics
Numerical analysis
010102 general mathematics
General Physics and Astronomy
010103 numerical & computational mathematics
General Chemistry
Differential transform method
01 natural sciences
Smoking dynamics
Generalized Euler method
Euler method
symbols.namesake
symbols
General Earth and Planetary Sciences
Applied mathematics
Order (group theory)
0101 mathematics
General Agricultural and Biological Sciences
Giving Up Smoking
Mathematics
Subjects
Details
- ISSN :
- 23641819 and 10286276
- Volume :
- 41
- Database :
- OpenAIRE
- Journal :
- Iranian Journal of Science and Technology, Transactions A: Science
- Accession number :
- edsair.doi.dedup.....08dd87f5fd641a60c24e88e3e2146e00
- Full Text :
- https://doi.org/10.1007/s40995-017-0278-x