@article{An2024, 
author = {Wenjing An and Xingdong Zhang},
title = {An implicit fully discrete compact finite difference scheme for time fractional diffusion-wave equation},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {1},
pages = {354-369},
keywords = {time fractional diffusion-wave equation (TFDWE), compact finite difference, caputo-fabrizio derivative, unconditional stability, convergence},
url = {https://www.sciopen.com/article/10.3934/era.2024017},
doi = {10.3934/era.2024017},
abstract = {In this paper, an implicit compact finite difference (CFD) scheme was constructed to get the numerical solution for time fractional diffusion-wave equation (TFDWE), in which the time fractional derivative was denoted by Caputo-Fabrizio (C-F) sense. We proved that the full discrete scheme is unconditionally stable. We also proved that the rate of convergence in time is near to    O  (      τ          2        ) and the rate of convergence in space is near to    O  (      h          4        ). Test problem was considered for regular domain with uniform points to validate the efficiency and accuracy of the method. The numerical results can support the theoretical claims.}
}