High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer

作者：

Highlights：

• Two ADI solvers are given for 2D and 3D heat conduct equations at microscale.

• They are uniquely solvable.

• It is shown that they are of order 2 in time and order 4 in space.

• Numerical results exhibit the efficiency of the solvers.

摘要

•Two ADI solvers are given for 2D and 3D heat conduct equations at microscale.•They are uniquely solvable.•It is shown that they are of order 2 in time and order 4 in space.•Numerical results exhibit the efficiency of the solvers.

论文关键词：Dual-phase-lagging models of microscale heat transfer,Compact ADI methods,Convergence,Solvability

论文评审过程：Received 23 July 2016, Revised 10 February 2017, Accepted 27 March 2017, Available online 14 April 2017, Version of Record 14 April 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.03.035