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

Ibrahima K. Kaba; Weizhong Dai

doi:10.1016/j.cam.2004.11.024

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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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 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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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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A Hyperbolic Two-Step Model-Based Finite-Difference Method for Studying Thermal Deformation in a 3-D Thin Film Exposed to Ultrashort Pulsed Lasers

Numerical Heat Transfer Part A Applications ◽

10.1080/10407780801960118 ◽

2008 ◽

Vol 53 (12) ◽

pp. 1294-1320 ◽

Cited By ~ 5

Author(s):

Tianchan Niu ◽

Weizhong Dai

Keyword(s):

Thin Film ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Thermal Deformation ◽

Pulsed Lasers ◽

Model Based ◽

Step Model ◽

Ultrashort Pulsed Lasers

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A Hyperbolic Two-Step Model Finite-Difference Method for Studying Thermal Deformation in a 3-D Microsphere Exposed to Ultrashort-Pulsed Lasers

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790802424147 ◽

2008 ◽

Vol 54 (5) ◽

pp. 408-433 ◽

Cited By ~ 3

Author(s):

Pan Wang ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Thermal Deformation ◽

Pulsed Lasers ◽

Step Model ◽

Ultrashort Pulsed Lasers

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A Nonlinear Finite Difference Scheme for Solving the Nonlinear Parabolic Two-Step Model

Computational and Information Science - Lecture Notes in Computer Science ◽

10.1007/978-3-540-30497-5_48 ◽

2004 ◽

pp. 304-309 ◽

Cited By ~ 1

Author(s):

Weizhong Dai ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Parabolic ◽

Step Model

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Discrete maximum-norm stability of a linearized second order finite difference scheme for Allen-Cahn equation

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20170208 ◽

2017 ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Maximum Norm ◽

Cahn Equation

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Conservative finite‐difference scheme for computer simulation of contrast 3D spatial‐temporal structures induced by a laser pulse in a semiconductor

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6245 ◽

2020 ◽

Vol 43 (7) ◽

pp. 4895-4917

Author(s):

Vyacheslav Trofimov ◽

Maria Loginova ◽

Vladimir Egorenkov

Keyword(s):

Computer Simulation ◽

Finite Difference ◽

Laser Pulse ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Conservative Finite Difference Scheme ◽

Temporal Structures

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