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An approximate analytic solution of the heat conduction equation at nanoscale
Authors:V Mohammadi-Fakhar
Institution:Department of Mathematics, Shahed University, Tehran, PO Box 18151-159, Iran
Abstract:The Adomian decomposition method (ADM) and the Adomian double decomposition method (ADDM) for solving the 3D non-Fourier heat conduction equation at nanoscale based on the dual-phase-lag framework are proposed. We show that the noise terms that appear in ADM solution can be removed, if the ADDM is employed.
Keywords:Adomian decomposition  Adomian double decomposition  Heat conduction equation  Thin films  Nanoscale
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