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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 1, Pages 95–105
(Mi sjvm569)
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Method for description of heat transfer processes in fractal systems using scale variable
O. N. Khatuntsevaab a Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow region, 141700, Russia
b S. P. Korolev Rocket and Space Corporation "Energia", 4A Lenin str., Korolev, Moscow region, 141070, Russia
Abstract:
A method is offered for the description of heat transfer (diffusion) processes in fractal systems based on the heat conductivity equation enhanced by an additional variable specifying a scale of the consideration of the fractal.
Key words:
fractal, fractional dimension, scaling, heat conduction, diffusion.
Received: 25.11.2013
Citation:
O. N. Khatuntseva, “Method for description of heat transfer processes in fractal systems using scale variable”, Sib. Zh. Vychisl. Mat., 18:1 (2015), 95–105; Num. Anal. Appl., 8:1 (2015), 81–88
Linking options:
https://www.mathnet.ru/eng/sjvm569 https://www.mathnet.ru/eng/sjvm/v18/i1/p95
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| Statistics & downloads: |
| Abstract page: | 3423 | | Full-text PDF : | 2696 | | References: | 107 | | First page: | 253 |
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