A new integral transform operator for solving the heat-diffusion problem

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• 作者：Xiao-Jun Yang ; ^{dyangxiaojun@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Heat transfer ; Heat-diffusion equation ; Integral transform ; Analytical solution
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：193-197
• 全文大小：663 K

文摘

In this paper, a new integral transform operator, which is similar to Fourier transform, is proposed for the first time. As a testing example, an application to the one-dimensional heat-diffusion problem is discussed. The result demonstrates accuracy and efficiency of the present technology to find the analytical solution for the heat-transfer problem.