@Article{JCM-42-1,
author = {Zhao, Jingjun and Zhao, Wenjiao and Yang, Xu},
title = {A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {1},
pages = {156--177},
abstract = {<p style="text-align: justify;">This paper deals with the numerical approximation for the time fractional diffusion
problem with fractional dynamic boundary conditions. The well-posedness for the weak
solutions is studied. A direct discontinuous Galerkin approach is used in spatial direction
under the uniform meshes, together with a second-order Alikhanov scheme is utilized in
temporal direction on the graded mesh, and then the fully discrete scheme is constructed.
Furthermore, the stability and the error estimate for the full scheme are analyzed in detail.
Numerical experiments are also given to illustrate the effectiveness of the proposed method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2203-m2021-0233},
url = {https://global-sci.com/article/84078/a-direct-discontinuous-galerkin-method-for-time-fractional-diffusion-equations-with-fractional-dynamic-boundary-conditions}
}