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Heydari, M., Loghmani, G. B., Hosseini, S. M., Yildirim, A.. (1392). A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer. , 37(4), 501-512. doi: 10.22099/ijsts.2013.1788
M. Heydari; G. B. Loghmani; S. M. Hosseini; A. Yildirim. "A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer". , 37, 4, 1392, 501-512. doi: 10.22099/ijsts.2013.1788
Heydari, M., Loghmani, G. B., Hosseini, S. M., Yildirim, A.. (1392). 'A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer', , 37(4), pp. 501-512. doi: 10.22099/ijsts.2013.1788
Heydari, M., Loghmani, G. B., Hosseini, S. M., Yildirim, A.. A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer. , 1392; 37(4): 501-512. doi: 10.22099/ijsts.2013.1788

A novel hybrid spectral-variational iteration method (H-S-VIM) for solving nonlinear equations arising in heat transfer

Iranian Journal of Science
مقاله 11، دوره 37، شماره 4، اسفند 2013، صفحه 501-512    اصل مقاله (482.93 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1788
نویسندگان
M. Heydari* 1؛ G. B. Loghmani1؛ S. M. Hosseini2؛ A. Yildirim3
1Department of Mathematics, Yazd University P.O. Box: 89195-741 Yazd, Iran
2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
3Department of Mathematics, Science Faculty, Ege University, 35100 Bornova-Izmir, Turkey
چکیده
The purpose of this study is to implement a new modification of the variational iteration method (H-S-VIM), which is a combination of spectral method and variational iteration method for heat transfer problems with high nonlinearity order. The merit of this method is that it does not require the solution of any linear or nonlinear system of equations unlike spectral method. Furthermore the proposed method is easy to implement and computationally very attractive. Here, H-S-VIM is used to solve an unsteady nonlinear convective-radiative equation containing two small parameters,  and . It is observed that H-S-VIM may be implemented on other strongly nonlinear models of physical nature.
کلیدواژه‌ها
heat transfer؛ Spectral method؛ Variational iteration method؛ gauss quadrature integration method
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