Gradient preserved method for solving heat conduction equation with variable coefficients in double layers
作者：
Highlights：
• Developing an accurate gradient preserved method (GPM) for the interface between layers.
• Obtaining an accurate numerical scheme for heat conduction equations in double layers.
• Analyzing the stability and convergence of the numerical schemes.
• Testing the accuracy and applicability of the GPM and the schemes using two examples.
摘要
•Developing an accurate gradient preserved method (GPM) for the interface between layers.•Obtaining an accurate numerical scheme for heat conduction equations in double layers.•Analyzing the stability and convergence of the numerical schemes.•Testing the accuracy and applicability of the GPM and the schemes using two examples.
论文关键词：Heat conduction equation,Variable coefficient,Multi layer structure,Interface,Stability,Compact finite difference,Convergence,Ultrashort-pulsed laser,Parabolic two step heat equation,Anisotropic diffusion
论文评审过程：Received 7 March 2020, Revised 16 June 2020, Accepted 5 July 2020, Available online 18 July 2020, Version of Record 18 July 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125516
