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

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. (C) 2016 Elsevier Ltd. All rights reserved.