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Numerical Analysis and Applications

2015 year, number 1

Method for description of heat transfer processes in fractal systems using scale variable

Olga Nikolaevna Khatuntseva1,2
1S.P. Korolev rocket and space corporation В«Energia», 4A Lenin Street, Korolev, Moscow area, 141070
2Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141700
Keywords: fractal, fractional dimension, scaling, heat conduction, diffusion

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.