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

Weizhong Dai; Guang Li

doi:10.1002/num.20162

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 stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.11.024 ◽

2005 ◽

Vol 181 (1) ◽

pp. 125-147 ◽

Cited By ~ 9

Author(s):

Ibrahima K. Kaba ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulsed Lasers ◽

Step Model ◽

Ultrashort Pulsed Lasers ◽

Micro Sphere

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A stable finite difference scheme for solving a hyperbolic two‐step model in a 3D micro sphere exposed to ultrashort‐pulsed lasers

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/09615530610679066 ◽

2006 ◽

Vol 16 (6) ◽

pp. 693-717 ◽

Cited By ~ 12

Author(s):

Weizhong Dai ◽

Hertong Song ◽

Shengjun Su ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulsed Lasers ◽

Step Model ◽

Ultrashort Pulsed Lasers ◽

Micro Sphere

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NONSTANDARD FINITE DIFFERENCE SCHEMES FOR SOLVING NONLINEAR MICRO HEAT TRANSPORT EQUATIONS IN DOUBLE-LAYERED METAL THIN FILMS EXPOSED TO ULTRASHORT PULSED LASERS

Advances in the Applications of Nonstandard Finite Difference Schemes ◽

10.1142/9789812703316_0005 ◽

2005 ◽

pp. 191-248 ◽

Cited By ~ 1

Author(s):

Weizhong Dai

Keyword(s):

Thin Films ◽

Finite Difference ◽

Heat Transport ◽

Transport Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Pulsed Lasers ◽

Metal Thin Films ◽

Ultrashort Pulsed Lasers ◽

Nonstandard Finite Difference

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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 New Accurate Finite-Difference Scheme for the Thermal Analysis of One-Dimensional Microspheres Exposed to Ultrashort-Pulsed Lasers

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2010.489878 ◽

2010 ◽

Vol 57 (4) ◽

pp. 241-259 ◽

Cited By ~ 9

Author(s):

Weizhong Dai ◽

Connor Johnson

Keyword(s):

Thermal Analysis ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulsed Lasers ◽

One Dimensional ◽

Ultrashort Pulsed Lasers

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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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A hyperbolic two-step model based finite difference scheme for studying thermal deformation in a double-layered thin film exposed to ultrashort-pulsed lasers

International Journal of Thermal Sciences ◽

10.1016/j.ijthermalsci.2008.02.001 ◽

2009 ◽

Vol 48 (1) ◽

pp. 34-49 ◽

Cited By ~ 12

Author(s):

Tianchan Niu ◽

Weizhong Dai

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Thermal Deformation ◽

Pulsed Lasers ◽

Model Based ◽

Step Model ◽

Ultrashort Pulsed Lasers ◽

Layered Thin Film

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A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions

Nonlinear Analysis Hybrid Systems ◽

10.1016/j.nahs.2007.07.001 ◽

2008 ◽

Vol 2 (1) ◽

pp. 121-143 ◽

Cited By ~ 9

Author(s):

Weizhong Dai ◽

Tianchan Niu

Keyword(s):

Thin Film ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulsed Lasers ◽

Interfacial Conditions ◽

Step Model ◽

Ultrashort Pulsed Lasers ◽

Layered Thin Film

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Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900375700 ◽

2002 ◽

Vol 40 (3) ◽

pp. 891-913 ◽

Cited By ~ 12

Author(s):

A. Klar ◽

A. Unterreiter

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Transport Equations ◽

Uniform Stability

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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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