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Volumn 23, Issue 5, 2007, Pages 1139-1148

Hybrid pseudospectral-finite difference method for solving a 3D heat conduction equation in a submicroscale thin film

Author keywords

Finite difference methods; Heat conduction equation; Pseudospectral methods; Thin film

Indexed keywords


EID: 34548527724     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20214     Document Type: Article
Times cited : (8)

References (22)
  • 2
    • 0004249054 scopus 로고    scopus 로고
    • Macro to Micro Heat Transfer
    • 2 D. Y. Tzou, Macro to Micro Heat Transfer, Taylor & Francis, Washington, D.C., 1996.
    • (1996)
    • Tzou, D.Y.1
  • 3
    • 0028039735 scopus 로고
    • On the wave theory in heat conduction
    • 3 M. N. Özisik and D. Y. Tzou, On the wave theory in heat conduction, ASME J Heat Transfer 116 ( 1994), 526–536.
    • (1994) ASME J Heat Transfer , vol.116 , pp. 526-536
    • Özisik, M.N.1    Tzou, D.Y.2
  • 4
    • 0344492690 scopus 로고    scopus 로고
    • A unified solution for heat conduction in thin films
    • 4 K. J. Hays‐Stang and A. Haji‐Sheikh, A unified solution for heat conduction in thin films, Int J Heat Mass Transfer 42 ( 1999), 455–465.
    • (1999) Int J Heat Mass Transfer , vol.42 , pp. 455-465
    • Hays‐Stang, K.J.1    Haji‐Sheikh, A.2
  • 5
    • 0035508195 scopus 로고    scopus 로고
    • High accuracy stable numerical solution of 1D microscale heat transport equation
    • 5 J. Zhang and J. J. Zhao, High accuracy stable numerical solution of 1D microscale heat transport equation, Commun Numer Methods Eng 17 ( 2001), 821–832.
    • (2001) Commun Numer Methods Eng , vol.17 , pp. 821-832
    • Zhang, J.1    Zhao, J.J.2
  • 6
    • 0034849267 scopus 로고    scopus 로고
    • Iterative solution and finite difference approximations to 3D microscale heat transport equation
    • 6 J. Zhang and J. J. Zhao, Iterative solution and finite difference approximations to 3D microscale heat transport equation, Math Compute Simul 57 ( 2001), 387–404.
    • (2001) Math Compute Simul , vol.57 , pp. 387-404
    • Zhang, J.1    Zhao, J.J.2
  • 7
    • 0000563677 scopus 로고    scopus 로고
    • Unconditionally stable finite difference scheme and iterative solution of 2D microscale heat transport equation
    • 7 J. Zhang and J. J. Zhao, Unconditionally stable finite difference scheme and iterative solution of 2D microscale heat transport equation, J Compute Phys 170 ( 2001), 261–275.
    • (2001) J Compute Phys , vol.170 , pp. 261-275
    • Zhang, J.1    Zhao, J.J.2
  • 8
    • 0042234530 scopus 로고    scopus 로고
    • A finite difference method for solving the heat transport equation at the microscale
    • 8 W. Dai and R. Nassar, A finite difference method for solving the heat transport equation at the microscale, Numer Methods Partial Differ Equations 15 ( 1999), 697–708.
    • (1999) Numer Methods Partial Differ Equations , vol.15 , pp. 697-708
    • Dai, W.1    Nassar, R.2
  • 9
    • 0035879146 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a one‐dimensional heat transport equation at the microscale
    • 9 W. Dai and R. Nassar, A compact finite difference scheme for solving a one‐dimensional heat transport equation at the microscale, J Comput Appl Math 132 ( 2001), 431–441.
    • (2001) J Comput Appl Math , vol.132 , pp. 431-441
    • Dai, W.1    Nassar, R.2
  • 10
    • 0035068667 scopus 로고    scopus 로고
    • A finite difference scheme for solving a three‐dimensional heat transport equation in a thin film with microscale thickness
    • 10 W. Dai and R. Nassar, A finite difference scheme for solving a three‐dimensional heat transport equation in a thin film with microscale thickness, Int J Numer Methods Eng 50 ( 2001), 1665–1680.
    • (2001) Int J Numer Methods Eng , vol.50 , pp. 1665-1680
    • Dai, W.1    Nassar, R.2
  • 11
    • 0036683038 scopus 로고    scopus 로고
    • An unconditionally stable finite difference method for solving a 3D heat transport equation in a submicroscale thin film
    • 11 W. Dai and R. Nassar, An unconditionally stable finite difference method for solving a 3D heat transport equation in a submicroscale thin film, J Comput Math 145 ( 2002), 247–260.
    • (2002) J Comput Math , vol.145 , pp. 247-260
    • Dai, W.1    Nassar, R.2
  • 12
    • 0742319155 scopus 로고    scopus 로고
    • An unconditionally stable hybrid FE‐FD scheme for solving a 3D heat transport equation in a cylindrical thin film with sub‐microscale thickness
    • 12 W. Dai and R. Nassar, An unconditionally stable hybrid FE‐FD scheme for solving a 3D heat transport equation in a cylindrical thin film with sub‐microscale thickness, J Comput Appl Math 21 ( 2003), 555–568.
    • (2003) J Comput Appl Math , vol.21 , pp. 555-568
    • Dai, W.1    Nassar, R.2
  • 13
    • 33144488415 scopus 로고    scopus 로고
    • A note on stability in dual‐phase‐lag heat conduction
    • 13 R. Quintanilla and R. Racke, A note on stability in dual‐phase‐lag heat conduction, Int J Heat Mass Transfer 49 ( 2006), 1209–1213.
    • (2006) Int J Heat Mass Transfer , vol.49 , pp. 1209-1213
    • Quintanilla, R.1    Racke, R.2
  • 14
    • 0000914453 scopus 로고
    • Comparison of accurate methods for the integration of hyperbolic equations
    • 14 H.‐O. Kreiss and J. Oliger, Comparison of accurate methods for the integration of hyperbolic equations, Tellus 24 ( 1972), 199–215.
    • (1972) Tellus , vol.24 , pp. 199-215
    • Kreiss, H.‐O.1    Oliger, J.2
  • 15
    • 0015400805 scopus 로고
    • Comparison of pseudospectral and spectral approximations
    • 15 S. A. Orszag, Comparison of pseudospectral and spectral approximations, Stud Appl Math 53 ( 1972), 253–259.
    • (1972) Stud Appl Math , vol.53 , pp. 253-259
    • Orszag, S.A.1
  • 16
    • 0003958744 scopus 로고
    • Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics
    • 16 C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics, Springer, Berlin, 1988.
    • (1988)
    • Canuto, C.1    Hussaini, M.Y.2    Quarteroni, A.3    Zang, T.A.4
  • 17
    • 1842771850 scopus 로고    scopus 로고
    • Spectral/hp Element Methods for CFD, Series in Numerical Mathematics and Scientific Computation
    • 17 G. E. Karniadakis and S. J. Sherwin, Spectral/hp Element Methods for CFD, Series in Numerical Mathematics and Scientific Computation, Oxford University Press, 1999.
    • (1999)
    • Karniadakis, G.E.1    Sherwin, S.J.2
  • 18
    • 0003600453 scopus 로고
    • Numerical analysis of spectral methods: Theory and applications
    • 18 D. Gottlieb and S. A. Orszag, Numerical analysis of spectral methods: Theory and applications, CBMS‐NSF Regional Conference Series in Applied Mathematics, Vol. 26, SIAM, 1977.
    • (1977) , vol.26
    • Gottlieb, D.1    Orszag, S.A.2
  • 19
    • 21844490120 scopus 로고
    • Pseudospectral collocation methods for fourth‐order differential equations
    • 19 A. Malek and T. N. Phillips, Pseudospectral collocation methods for fourth‐order differential equations, IMA J Numer Anal 15 ( 1995), 523–553.
    • (1995) IMA J Numer Anal , vol.15 , pp. 523-553
    • Malek, A.1    Phillips, T.N.2
  • 20
    • 0010790666 scopus 로고    scopus 로고
    • Spectral Methods, Handbook of Numerical Analysis V, Part 2
    • 20 Y. Maday and A. T. Patera, Spectral Methods, Handbook of Numerical Analysis V, Part 2, P. G. Ciarlet and J.‐L. Lions, editors, North‐Holland, 1997, pp. 209–486.
    • (1997) , pp. 209-486
    • Maday, Y.1    Patera, A.T.2
  • 21
    • 2142758205 scopus 로고    scopus 로고
    • Viscoelastic flow in an undulating tube using spectral methods
    • 21 S. H. Momeni‐Masuleh and T. N. Phillips, Viscoelastic flow in an undulating tube using spectral methods, Computers Fluids 33 ( 2004), 1075–1095.
    • (2004) Computers Fluids , vol.33 , pp. 1075-1095
    • Momeni‐Masuleh, S.H.1    Phillips, T.N.2
  • 22
    • 0004236492 scopus 로고
    • Matrix Computation
    • 22 G. H. Golub and C. F. Van Loan, Matrix Computation, 2nd ed., Johns Hopkins University Press, 1989.
    • (1989)
    • Golub, G.H.1    Van Loan, C.F.2


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