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 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.

scholarly journals An integral transform applied to solve the steady heat transfer problem in the half-plane

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 105-111
Author(s):  
Tongqiang Xia ◽  
Shengping Yan ◽  
Xin Liang ◽  
Pengjun Zhang ◽  
Chun Liu
Keyword(s):  
Heat Transfer ◽  
Half Plane ◽  
Laplace Equation ◽  
Integral Transform ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
Linear Heat ◽  
Transfer Problems ◽  
Steady Heat

An integral transform operator U[?(t)= 1/? ???? ?(t)?-i?t dt is considered to solve the steady heat transfer problem in this paper. The analytic technique is illustrated to be applicable in the solution of a 1-D Laplace equation in the half-plane. The results are interesting as well as potentially useful in the linear heat transfer problems.

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 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 New Laplace-type integral transform for solving steady heat-transfer problem

2019 ◽  
pp. 160-160 ◽  
Author(s):  
Shehu Maitama ◽  
Weidong Zhao
Keyword(s):  
Heat Transfer ◽  
Integral Transform ◽  
Transfer Problem ◽  
Laplace Transforms ◽  
Heat Transfer Problem ◽  
Type Integral ◽  
Sumudu Transform ◽  
Transfer Problems ◽  
Steady Heat ◽  
Laplace Type

The fundamental purpose of this paper is to propose a new Laplace-type integral transform (NL-TIT) for solving steady heat-transfer problems. The proposed integral transform is a generalization of the Sumudu, and the Laplace transforms and its visualization is more comfortable than the Sumudu transform, the natural transform, and the Elzaki transform. The suggested integral transform is used to solve the steady heat-transfer problems, and results are compared with the results of the existing techniques.

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