@Article{EAJAM-13-22,
author = {Chen , YanpingLin , XiuxiuZhang , Mengjuan and Huang , Yunqing},
title = {Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2023},
volume = {13},
number = {1},
pages = {22--46},
abstract = {<p style="text-align: justify;">A numerical scheme for the nonlinear fractional-order Cable equation with
Riemann-Liouville fractional derivatives is constructed. Using finite difference discretizations in the time direction, we obtain a semi-discrete scheme. Applying spectral Galerkin
discretizations in space direction to the equations of the semi-discrete systems, we construct a fully discrete method. The stability and errors of the methods are studied. Two
numerical examples verify the theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.020521.140522},
url = {http://global-sci.org/intro/article_detail/eajam/21300.html}
}