The two-level finite difference schemes for the heat equation with nonlocal initial condition
作者：
Highlights：
• The heat equation with nonlocal initial condition is considered.
• Several finite difference schemes are constructed and analyzed.
• The stability of the schemes is the main objective of investigation.
• Time step size bound obtained in previous paper is revised.
• Numerical experiments with linear and nonlinear problems confirm the theoretical results.
摘要
•The heat equation with nonlocal initial condition is considered.•Several finite difference schemes are constructed and analyzed.•The stability of the schemes is the main objective of investigation.•Time step size bound obtained in previous paper is revised.•Numerical experiments with linear and nonlinear problems confirm the theoretical results.
论文关键词：Heat equation,Nonlocal initial condition,Finite difference scheme,Stability,Convergence
论文评审过程：Received 25 November 2017, Revised 15 June 2018, Accepted 10 September 2018, Available online 2 October 2018, Version of Record 2 October 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.09.025
