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 ◽

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

Download Full-text

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 ◽

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

Download Full-text

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 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Spherical Coordinates ◽

Heat Transport Equation

Download Full-text

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 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Raja Nassar ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Spherical Coordinates ◽

Heat Transport Equation

Download Full-text

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 ◽

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

Download Full-text

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 ◽

Author(s):

Weizhong Dai ◽

Raja Nassar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Heat Transport Equation

Download Full-text

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 ◽

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

Download Full-text

An implicit fourth-order compact finite difference scheme for one-dimensional Burgers’ equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.09.037 ◽

2008 ◽

Vol 206 (2) ◽

pp. 755-764 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Burgers Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

One Dimensional

Download Full-text

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 ◽

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

Download Full-text

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 ◽

Author(s):

Weizhong Dai ◽

Lixin Shen ◽

Teng Zhu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Transport Equation ◽

Heat Transport ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Spherical Coordinates ◽

Heat Transport Equation

Download Full-text

A linearized, decoupled, and energy-preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22125 ◽

2016 ◽

Vol 33 (3) ◽

pp. 840-867 ◽

Author(s):

Tingchun Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

Download Full-text