We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .
📌 3 Key Takeaways
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Objective & Hypothesis:In scientific studies involving norm calculations, the choice of the norm affects the obtained results.
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Key Findings & Data:In scientific studies involving norm calculations, the choice of the norm affects the obtained results.
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Conclusion & Impact:We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .
🔬Design:Research Article
📍Scope:2011 Verileri
⚙️Variables:Salgın hastalık modeli · SIR modeli · Adım genişliği stratejisi
Abstract
In scientific studies involving norm calculations, the choice of the norm affects the obtained results. We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .
Özet
Bu çalışmada, bazı SIR salgın hastalık modelleri için değişken adım genişliği stratejisinin etkinliğini incelemeyi amaçladık. SIR modeli ve onun modifikasyonlarına gerçek veriler kullanarak değişken adım genişliği stratejisini uyguladık
KIZILKAN, G. Ç., DUMAN, A., AYDIN, K. (2016). Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 6 - Sayı: 1, 203–210. https://ajindex.com/articles/684077
Chauhan, S., Misra, OP., Dhar, J. 2014. Stability analysis of SIR model with vaccination, Am. J. Comput. Appl. Math., 4(1):17- 23. Chinviriyasit, S., Chinviriyasit, W. 2010. Numerical modelling of on SIR epidemic model with diffusion, Appl. Math. Comput., 216: 395-409.
Correia, AM., Mena, FC., Soares, AJ. 2011. An application of the SIR model to epidemics in Portugal. https://repositorium. sdum.uminho.pt/bitstream/1822/15211/1/CorrMenSoar2011. pdf (Access date: 08.04.2016).
Cui, Q., Yang, X., Zhang, Q. 2014. An NSFD scheme for a class of SIR epidemic models with vaccination and treatment, J. Differ. Equ. Appl., 20 (3): 416-422.
Çelik Kızılkan, G. 2004. On the finding of step size in the numerical integration of initial value problem, Master Thesis, Selcuk University Graduate Natural and Applied Sciences, Konya, (in Turkish). Çelik Kızılkan, G. 2009. Step size strategies on the numerical integration of the systems of differential equations. Ph.D. The- sis, Selcuk University Graduate Natural and Applied Sciences, Konya, (in Turkish).