A novel meshless space-time backward substitution method and its application to nonhomogeneous advection-diffusion problems

作者：

Highlights：

• A novel space-time back substitution method is developed to address time-dependent problem.

• The proposed method can directly solve time-dependent problem without time difference.

• The presented method is quite accurate and effective.

摘要

•A novel space-time back substitution method is developed to address time-dependent problem.•The proposed method can directly solve time-dependent problem without time difference.•The presented method is quite accurate and effective.

论文关键词：Meshless collocation method,Space-time basis function,Advection-diffusion problem

论文评审过程：Received 20 October 2020, Revised 29 December 2020, Accepted 3 January 2021, Available online 29 January 2021, Version of Record 29 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.125964