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Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film
Author(s) -
MomeniMasuleh S.H.,
Malek A.
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20214
Subject(s) - discretization , finite difference method , mathematics , finite difference , partial differential equation , finite difference coefficient , lagging , pseudospectral optimal control , heat transfer , thermal conduction , pseudo spectral method , conjugate gradient method , mathematical analysis , finite element method , fourier transform , mathematical optimization , physics , fourier analysis , mechanics , thermodynamics , mixed finite element method , statistics
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