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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive
Sib. Zh. Vychisl. Mat., 2015 Volume 18, Number 1, Pages 95–105 (Mi sjvm569)
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.

UDC: 530.1

Received: 25.11.2013


 English version: Numerical Analysis and Applications, 2015, 8:1, 81–88

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© Steklov Math. Inst. of RAS, 2024