@Article{EAJAM-10-3,
author = {Xiaohui, Liu and Stynes, Martin},
title = {An Alternative Finite Difference Stability Analysis for a Multiterm Time-Fractional Initial-Boundary Value Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {3},
pages = {427--436},
abstract = {<p style="text-align: justify;">A fractional initial-boundary value problem is considered, where the differential operator includes a sum of Caputo temporal derivatives, and the solution has a weak
singularity at the initial time $t$ = 0. The problem is solved numerically by a finite difference method based on applying the L1 method to discretise each temporal derivative
on a graded mesh. Stability of this method is proved by generalising the analysis of
Stynes $et$ $al$., SIAM J. Numer. Anal. 55 (2017), where the case of a single temporal
derivative was investigated. This stability result is used to prove a sharp error estimate
for the finite difference method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.010120.090320},
url = {https://global-sci.com/article/82563/an-alternative-finite-difference-stability-analysis-for-a-multiterm-time-fractional-initial-boundary-value-problem}
}