ANALYTICAL AND NUMERICAL METHODS FOR THERMAL SCIENCE

被引：0

作者：

Cui, Qiu-Na ^{[1
]}

Liu, Fu-Juan ^{[2
]}

He, Ji-Huan ^{[2
]}

机构：

[1] Henan Univ Urban Construct, Coll Energy & Architectural Environm Engn, Pingdingshan, Peoples R China

[2] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China

来源：

THERMAL SCIENCE | 2016年 / 20卷 / 03期

关键词：

analytical methods; fractal geometry; fractional calculus; fractional complex transform; Leibniz's derivative; HOMOTOPY PERTURBATION METHOD; FRACTIONAL DIFFERENTIAL-EQUATIONS; CONSTRAINED VARIATIONAL PRINCIPLE; SILKWORM COCOON HIERARCHY; HEAT-CONDUCTION; NONLINEAR EQUATIONS; NATURAL-CONVECTION; ASYMPTOTIC METHODS; COMPLEX TRANSFORM; SUMUDU TRANSFORM;

D O I：

暂无

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：IX / XIV

页数：6

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