Fully discretized methods based on boundary value methods for solving diffusion equations

作者：

Highlights：

• Based on boundary value methods, we establish a kind of new fully discretized methods for solving the diffusion equations.

• The proposed methods are composed of a series of full discretizations with multi-time-level and multi-space-level.

• The proposed methods are stable and own high accuracy.

摘要

•Based on boundary value methods, we establish a kind of new fully discretized methods for solving the diffusion equations.•The proposed methods are composed of a series of full discretizations with multi-time-level and multi-space-level.•The proposed methods are stable and own high accuracy.

论文关键词：Boundary value method,Diffusion equation,Stability,Convergence

论文评审过程：Received 8 March 2021, Revised 25 November 2021, Accepted 29 November 2021, Available online 15 December 2021, Version of Record 15 December 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126848