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A new integral transform operator for solving the heat-diffusion problem. (English) Zbl 1353.35018
Summary: 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.

35A22 Transform methods (e.g., integral transforms) applied to PDEs
Full Text: DOI
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