scholarly journals Characteristic equation method for fractal heat-transfer problem via local fractional calculus

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 751-754 ◽  
Author(s):  
Geng-Yuan Liu
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Fractional Calculus ◽  
Characteristic Equation ◽  
Transfer Problem ◽  
Equation Method ◽  
Heat Transfer Problem ◽  
Heat Transfer Equation ◽  
Type Solution ◽  
Local Fractional Calculus

In this paper the fractal heat-transfer problem described by the theory of local fractional calculus is considered. The non-differentiable-type solution of the heat-transfer equation is obtained. The characteristic equation method is proposed as a powerful technology to illustrate the analytical solution of the partial differential equation in fractal heat transfer.

scholarly journals Sumudu transform series expansion method for solving the local fractional Laplace equation in fractal thermal problems

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 739-742 ◽  
Author(s):  
Zheng-Hong Guo ◽  
Omer Acan ◽  
Sunil Kumar
Keyword(s):  
Heat Transfer ◽  
Fractional Calculus ◽  
Series Expansion ◽  
Laplace Equation ◽  
Transfer Problem ◽  
Expansion Method ◽  
Heat Transfer Problem ◽  
Local Fractional Calculus ◽  
Sumudu Transform ◽  
Series Expansion Method

In this article, the Sumudu transform series expansion method is used to handle the local fractional Laplace equation arising in the steady fractal heat-transfer problem via local fractional calculus.

scholarly journals A new integral transform with an application in heat-transfer problem

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 677-681 ◽  
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Integral Transform ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
First Time

In this paper, an new integral transform J[?(?)] =1/? ?0??(?)e??? d? is proposed for the first time. The integral transform is used to solve the differential equation arising in heat-transfer problem.

scholarly journals New integral transforms for solving a steady heat transfer problem

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 79-87 ◽  
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Transfer Equation ◽  
Transfer Problem ◽  
Integral Transforms ◽  
Heat Transfer Problem ◽  
Heat Transfer Equation ◽  
First Time ◽  
Steady Heat

The new Fourier-like integral transforms ?(?)= ? ???? ?(t)e-ikt dt, ?(?)= 1/????? ?(t)e-i?t dt, ?(?) 1/? ???? ?(t)e-it/? dt, ?(?)= ????? ?(t)e-it/? dt are addressed for the first time. They are used to handle a steady heat transfer equation. The proposed methods are efficient and accurate.

scholarly journals A new integral transform method for solving steady heat-transfer problem

2016 ◽  
Vol 20 (suppl. 3) ◽  
pp. 639-642 ◽  
Author(s):  
Xiao-Jun Yang
Keyword(s):  
Heat Transfer ◽  
Differential Equation ◽  
Integral Transform ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
Transform Method ◽  
First Time ◽  
Steady Heat ◽  
Integral Transform Method

In this paper, we propose a new integral transform method for the first time. It is used to find the solution for the differential equation in the steady heat-transfer problem. The proposed technology is accurate and efficient.

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