@article{Ren2022, 
author = {Lei Ren},
title = {High order compact difference scheme for solving the time multi-term fractional sub-diffusion equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9172-9188},
keywords = {fractional sub-diffusion equation, multi-term fractional derivatives, variable coefficient, compact difference method, convergence, stability},
url = {https://www.sciopen.com/article/10.3934/math.2022508},
doi = {10.3934/math.2022508},
abstract = {In this paper, a high order compact finite difference is established for the time multi-term fractional sub-diffusion equation. The derived numerical differential formula can achieve second order accuracy in time and four order accuracy in space. A unconditionally stable and convergent difference scheme is presented, and a rigorous proof for the stability and convergence is given. Numerical results demonstrate the efficiency of the proposed difference schemes.}
}