@article{Ran2025, 
author = {Chuan Ran and Xiaoyan Xu and Changshun Hou and Xindong Zhang},
title = {Numerical approximation of fourth-order fractional diffusion-wave systems using finite difference and discontinuous Galerkin method},
year = {2025},
journal = {Networks and Heterogeneous Media},
volume = {20},
number = {4},
pages = {1346-1366},
keywords = {fourth-order fractional diffusion-wave system, time fractional derivative, stability, convergence},
url = {https://www.sciopen.com/article/10.3934/nhm.2025058},
doi = {10.3934/nhm.2025058},
abstract = {This study develops a finite difference/local discontinuous Galerkin (LDG) framework for solving a fourth-order fractional diffusion-wave equation. The temporal fractional operator is approximated through a finite difference approach, achieving a truncation accuracy of    O  (  (  Δ  t      )          3      −      α        ), where    Δ  t denotes the time increment and    α represents the fractional order. For spatial discretization, LDG technique is employed, which leads to a fully implicit discrete formulation of the considered model. By applying mathematical induction, we establish the unconditional stability and convergence of the proposed algorithm. A series of computational experiments is presented to verify the theoretical error bounds.}
}