A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer

[1]  R. D. Richtmyer,et al.  Difference methods for initial-value problems , 1959 .

[2]  Luigi Preziosi,et al.  Addendum to the paper "Heat waves" [Rev. Mod. Phys. 61, 41 (1989)] , 1990 .

[3]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[4]  C. L. Tien,et al.  Heat transfer mechanisms during short-pulse laser heating of metals , 1993 .

[5]  D. Tzou.  Experimental support for the lagging behavior in heat propagation , 1995 .

[6]  D. Tzou.  A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales , 1995 .

[7]  Da Yu Tzou,et al.  The generalized lagging response in small-scale and high-rate heating , 1995 .

[8]  Weizhong Dai,et al.  A finite difference scheme for solving the heat transport equation at the microscale , 1999 .

[9]  J. W. Thomas.  Numerical Partial Differential Equations , 1999 .

[10]  R. Nassar,et al.  A compact finite difference scheme for solving a three‐dimensional heat transport equation in a thin film , 2000 .

[11]  Weizhong Dai,et al.  A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale: 431 , 2001 .

[12]  Weizhong Dai,et al.  A finite difference scheme for solving a three‐dimensional heat transport equation in a thin film with microscale thickness , 2001 .

[13]  Weizhong Dai,et al.  An unconditionally stable finite difference scheme for solving a 3D heat transport equation in a sub-microscale thin film , 2002 .

[14]  Vasily Novozhilov,et al.  An Integral Equation for the Dual-Lag Model of Heat Transfer , 2004 .

[15]  Mingtian Xu,et al.  Dual-phase-lagging heat conduction based on Boltzmann transport equation , 2005 .

[16]  R. Quintanilla,et al.  A note on stability in dual-phase-lag heat conduction , 2006 .

[17]  Weizhong Dai,et al.  A finite difference method for studying thermal deformation in a thin film exposed to ultrashort-pulsed lasers , 2006 .

[18]  T. Lu,et al.  Non-Fourier analysis of skin biothermomechanics , 2008 .

[19]  Xiaohao Wei,et al.  Heat conduction in nanofluids , 2009 .

[20]  Yuwen Zhang,et al.  Dual-phase lag effects on thermal damage to biological tissues caused by laser irradiation , 2009, Comput. Biol. Medicine.

[21]  Saneshan Govender,et al.  Thermal wave effects on heat transfer enhancement in nanofluids suspensions , 2010 .

[22]  J. Cabrera,et al.  Difference schemes for numerical solutions of lagging models of heat conduction , 2013, Math. Comput. Model..

[23]  Da Yu Tzou,et al.  Macro- to Microscale Heat Transfer: The Lagging Behavior , 2014 .