Öz
Hata analizini dikkate alan değişken adım genişliği kullanarak lineer Lorenz Sistemi ve difüzyonsuz Lorenz sistemlerinin nümerik çözümleri amaçlanmıştır. Bu tuhaf çekicilerin faz portreleri elde edilmiştir
Anahtar Kelimeler
Difüzyonsuz Lorenz sistemi Lorenz sistemi Nümerik çözüm Değişken adım genişliği
Kaynakça
- Boyce, WE., DiPrima, RC. 2012., Elementary Differential
- Equations and Boundary Value Problems. 10th Edition, John Wiley & Sons Inc, United States of America. Çelik Kızılkan, G., Aydın, K. 2011. Gülnur Çelik Kızılkan
- Kemal Aydın, Step Size Strategies Based On Error Analysis For The Linear Systems. SDU J. Sci., 6(2): 149-159. Dynamical Systems, 2011. Universite of Rochester, Department of Mechanical Engineering, http://www2.me.rochester.edu/ courses/ME406/webexamp6/loreq.pdf (Access date: 13.04.2018)
- El-Zahar, ER. 2012. An adaptative Step-Size Taylor Series Based
- Method and Application to Nonlinear Biochemical Reaction Model. Trends Appl. Sci. Res., 7(11): 901-912. Guran, A., Ahmadi, G., 2012. An Enhanced Numerical Solution of the Lorenz System By Means of the Differential Quadrature Method. AMIM, 17(1): 16-30.
- Li, C., Sprott, JC., Thio, W. 2015. Linearization of the Lorenz system. Phys. Lett. A, 379: 888-893. Figure 6. Phase portrait of system (8) for b = 1 initial value ^0 1 0TTh on error level d= (A) from [Li et all, L= , (B) obtained with variable step size d= L= .
Öz
Numerical solutions of linearized Lorenz system and diffusionless Lorenz system are aimed using variable step size strategy which consider the error analysis. Phase portraits are obtained for these strange attractors.
Anahtar Kelimeler
Diffusionless Lorenz systems Lorenz systems numerical solution variable step size
Kaynakça
- Boyce, WE., DiPrima, RC. 2012., Elementary Differential
- Equations and Boundary Value Problems. 10th Edition, John Wiley & Sons Inc, United States of America. Çelik Kızılkan, G., Aydın, K. 2011. Gülnur Çelik Kızılkan
- Kemal Aydın, Step Size Strategies Based On Error Analysis For The Linear Systems. SDU J. Sci., 6(2): 149-159. Dynamical Systems, 2011. Universite of Rochester, Department of Mechanical Engineering, http://www2.me.rochester.edu/ courses/ME406/webexamp6/loreq.pdf (Access date: 13.04.2018)
- El-Zahar, ER. 2012. An adaptative Step-Size Taylor Series Based
- Method and Application to Nonlinear Biochemical Reaction Model. Trends Appl. Sci. Res., 7(11): 901-912. Guran, A., Ahmadi, G., 2012. An Enhanced Numerical Solution of the Lorenz System By Means of the Differential Quadrature Method. AMIM, 17(1): 16-30.
- Li, C., Sprott, JC., Thio, W. 2015. Linearization of the Lorenz system. Phys. Lett. A, 379: 888-893. Figure 6. Phase portrait of system (8) for b = 1 initial value ^0 1 0TTh on error level d= (A) from [Li et all, L= , (B) obtained with variable step size d= L= .
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2019 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 9 Sayı: 2 |