THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Qiu-Na Cui

,

Fu-Juan Liu

,

Ji-Huan He

ANALYTICAL AND NUMERICAL METHODS FOR THERMAL SCIENCE

ABSTRACT
This paper gives a literature review on various analytical methods and numerical methods for heat problems. Fractal models and fractional models are emphasized. Beginning at the classic heat equation, fractional Fourier law and fractional conservation of energy are considered for 1-D heat equation in fractal media, its solution properties are discussed using the fractional complex transform. The emphasis of this literature review is put upon recent publications in Thermal Science, and the references are not exhaustive.
KEYWORDS
analytical methods, fractal geometry, fractional calculus, fractional complex transform, Leibniz's derivative
PAPER SUBMITTED: 2016-06-01
PAPER ACCEPTED: 2016-06-06
PUBLISHED ONLINE: 2016-08-13
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THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [0 - 0]
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ANALYTICAL AND NUMERICAL METHODS FOR THERMAL SCIENCE

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