@Article{NMTMA-5-229,
author = {Jianfei Huang, Yifa Tang and Luis Vázquez},
title = {Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2012},
volume = {5},
number = {2},
pages = {229--241},
abstract = {<p style="text-align: justify;">The block-by-block method, proposed by Linz for a kind of Volterra integral equations with nonsingular kernels, and extended by Kumar
and Agrawal to a class of initial value problems of fractional
differential equations (FDEs) with Caputo derivatives, is an
efficient and stable scheme. We analytically prove and numerically
verify that this method is convergent with order at least 3 for any
fractional order index $\alpha&gt;0$.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2012.m1038},
url = {http://global-sci.org/intro/article_detail/nmtma/5936.html}
}