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

Weizhong Dai; Quang Li; Raja Nassar; Lixin Shen

doi:10.1002/nme.887

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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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 HYBRID FINITE ELEMENT-FINITE DIFFERENCE METHOD FOR SOLVING THREE-DIMENSIONAL HEAT TRANSPORT EQUATIONS IN A DOUBLE-LAYERED THIN FILM WITH MICROSCALE THICKNESS

Numerical Heat Transfer Part A Applications ◽

10.1080/104077800750021143 ◽

2000 ◽

Vol 38 (6) ◽

pp. 573-588 ◽

Cited By ~ 15

Author(s):

W Eizhong Dai, Raja Nassar

Keyword(s):

Thin Film ◽

Finite Element ◽

Finite Difference ◽

Finite Difference Method ◽

Heat Transport ◽

Difference Method ◽

Three Dimensional ◽

Transport Equations ◽

Hybrid Finite Element ◽

Layered Thin Film

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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 FINITE DIFFERENCE METHOD FOR SOLVING 3-D HEAT TRANSPORT EQUATIONS IN A DOUBLE-LAYERED THIN FILM WITH MICROSCALE THICKNESS AND NONLINEAR INTERFACIAL CONDITIONS

Numerical Heat Transfer Part A Applications ◽

10.1080/10407780117171 ◽

2001 ◽

Vol 39 (1) ◽

pp. 21-33 ◽

Cited By ~ 6

Author(s):

W. Dai, R. Nassar

Keyword(s):

Thin Film ◽

Finite Difference ◽

Finite Difference Method ◽

Heat Transport ◽

Difference Method ◽

Transport Equations ◽

Interfacial Conditions ◽

Layered Thin Film

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A THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING MICRO HEAT TRANSPORT EQUATIONS WITH TEMPERATURE-DEPENDENT THERMAL PROPERTIES

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/713836316 ◽

2003 ◽

Vol 43 (6) ◽

pp. 509-523 ◽

Cited By ~ 6

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Thermal Properties ◽

Finite Difference ◽

Difference Scheme ◽

Heat Transport ◽

Finite Difference Scheme ◽

Transport Equations ◽

Temperature Dependent

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A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20162 ◽

2006 ◽

Vol 22 (6) ◽

pp. 1396-1417 ◽

Cited By ~ 6

Author(s):

Weizhong Dai ◽

Guang Li

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Heat Transport ◽

Finite Difference Scheme ◽

Transport Equations ◽

Pulsed Lasers ◽

Ultrashort Pulsed Lasers ◽

Micro Sphere

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A Hybrid FE-FD Scheme for Solving Parabolic Two-Step Micro Heat Transport Equations in an Irregularly Shaped Three-Dimensional Double-Layered Thin Film

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790500511096 ◽

2006 ◽

Vol 49 (5) ◽

pp. 437-465 ◽

Cited By ~ 12

Author(s):

Brian Barron ◽

Weizhong Dai

Keyword(s):

Thin Film ◽

Heat Transport ◽

Three Dimensional ◽

Transport Equations ◽

Layered Thin Film

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A FINITE DIFFERENCE METHOD FOR SOLVING 3-D HEAT TRANSPORT EQUATIONS IN A DOUBLE-LAYERED THIN FILM WITH MICROSCALE THICKNESS AND NONLINEAR INTERFACIAL CONDITIONS

Numerical Heat Transfer Part A Applications ◽

10.1080/104077801458447 ◽

2001 ◽

Vol 39 (1) ◽

pp. 21-33 ◽

Cited By ~ 9

Author(s):

W. Dai ◽

R. Nassar

Keyword(s):

Thin Film ◽

Finite Difference ◽

Finite Difference Method ◽

Heat Transport ◽

Difference Method ◽

Transport Equations ◽

Interfacial Conditions ◽

Layered Thin Film

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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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