Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation

Jun Zhang; Jennifer J. Zhao

doi:10.1006/jcph.2001.6735

Unconditionally Stable Finite Difference Scheme and Iterative Solution of 2D Microscale Heat Transport Equation

Journal of Computational Physics ◽

10.1006/jcph.2001.6735 ◽

2001 ◽

Vol 170 (1) ◽

pp. 261-275 ◽

Cited By ~ 35

Author(s):

Jun Zhang ◽

Jennifer J. Zhao

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Iterative Solution ◽

Unconditionally Stable ◽

Heat Transport Equation

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An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00579-9 ◽

2002 ◽

Vol 145 (1) ◽

pp. 247-260 ◽

Cited By ~ 23

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Unconditionally Stable ◽

Heat Transport Equation

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A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10073 ◽

2003 ◽

Vol 20 (1) ◽

pp. 60-71 ◽

Cited By ~ 8

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Dual Phase ◽

Spherical Coordinates ◽

Heat Transport Equation

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A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2003.10.013 ◽

2004 ◽

Vol 47 (8-9) ◽

pp. 1817-1825 ◽

Cited By ~ 22

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Dual Phase ◽

Spherical Coordinates ◽

Heat Transport Equation

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A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00445-3 ◽

2001 ◽

Vol 132 (2) ◽

pp. 431-441 ◽

Cited By ~ 40

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

One Dimensional ◽

Heat Transport Equation

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A finite difference scheme for solving the heat transport equation at the microscale

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199911)15:6<697::aid-num6>3.0.co;2-# ◽

1999 ◽

Vol 15 (6) ◽

pp. 697-708 ◽

Cited By ~ 51

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Heat Transport Equation

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A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film

Numerical Methods for Partial Differential Equations ◽

10.1002/1098-2426(200009)16:5<441::aid-num3>3.0.co;2-0 ◽

2000 ◽

Vol 16 (5) ◽

pp. 441-458 ◽

Cited By ~ 50

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Heat Transport Equation

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A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.90 ◽

2001 ◽

Vol 50 (7) ◽

pp. 1665-1680 ◽

Cited By ~ 22

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Heat Transport Equation

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A STABLE THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING A THREE-DIMENSIONAL DUAL-PHASE-LAGGING HEAT TRANSPORT EQUATION IN SPHERICAL COORDINATES

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790490449318 ◽

2004 ◽

Vol 46 (2) ◽

pp. 121-139 ◽

Cited By ~ 9

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Dual Phase ◽

Spherical Coordinates ◽

Heat Transport Equation

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Iterative solution and finite difference approximations to 3D microscale heat transport equation

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(01)00319-6 ◽

2001 ◽

Vol 57 (6) ◽

pp. 387-404 ◽

Cited By ~ 21

Author(s):

Jun Zhang ◽

Jennifer J. Zhao

Keyword(s):

Finite Difference ◽

Transport Equation ◽

Heat Transport ◽

Iterative Solution ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Heat Transport Equation

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An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.887 ◽

2003 ◽

Vol 59 (4) ◽

pp. 493-509 ◽

Cited By ~ 15

Author(s):

Weizhong Dai ◽

Quang Li ◽

Raja Nassar ◽

Lixin Shen

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Transport Equations ◽

Unconditionally Stable ◽

Layered Thin Film

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