Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film |
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Authors: | SH Momeni‐Masuleh A Malek |
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Institution: | 1. Department of Mathematics, Shahed University, Tehran, IranDepartment of Mathematics, Shahed University, P. O. Box 18151‐159, Tehran, Iran;2. Department of Mathematics, Tarbiat Modarres University, Tehran, Iran |
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Abstract: | This research aims to develop a time‐dependent pseudospectral‐finite difference scheme for solving a 3D dual‐phase‐lagging heat transport equation in a submicroscale thin film. The scheme uses periodic pseudospectral discretization in space and a fully second‐order finite difference discretization in time. The three consecutive time steps model is then solved explicitly, by using a preconditioned conjugate gradient method. The scheme is illustrated by an example which is used to investigate the heat transfer in a gold submicroscale thin film. Comparisons are made with available literature. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007 |
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Keywords: | pseudospectral methods finite difference methods heat conduction equation thin film |
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