@Article{AAMM-17-3,
author = {Yanwei, Du and Yonghai, Li},
title = {Finite Volume Element Method for a Nonlinear Parabolic Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {3},
pages = {681--705},
abstract = {<p style="text-align: justify;">In this article, we study a parabolic equation with both nonlinear time-derivative term and nonlinear diffusion term by the finite volume element method.
The optimal error estimate in $H^1$-norm is proved for fully discrete scheme. The suboptimal error estimate in $L^2$-norm is proved both for semi-discrete scheme and fully
discrete scheme. We prove the existence of solution for the fully discrete scheme. Numerical results show the effectiveness of our method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0258},
url = {https://global-sci.com/article/91701/finite-volume-element-method-for-a-nonlinear-parabolic-equation}
}