Convergence analysis of compact difference schemes for diffusion equation with nonlocal boundary conditions

作者：

Highlights：

• Difference schemes for solving the diffusion equation with nonlocal boundary conditions are considered.

• Compact difference is used and the integrals are approximated by the composite Simpson scheme.

• Convergence of the two compact schemes are derived using the energy method.

摘要

•Difference schemes for solving the diffusion equation with nonlocal boundary conditions are considered.•Compact difference is used and the integrals are approximated by the composite Simpson scheme.•Convergence of the two compact schemes are derived using the energy method.

论文关键词：Compact,Difference,Nonlocal,Diffusion,Fourth-order,Error estimates

论文评审过程：Received 30 October 2014, Revised 5 February 2015, Accepted 9 March 2015, Available online 9 April 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.03.039