@Article{EAJAM-7-752,
author = {Pin Lyu, Seakweng Vong and Zhibo Wang},
title = {A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {4},
pages = {752--766},
abstract = {<p style="text-align: justify;">In this paper, we consider a two-point boundary value problem with Caputo fractional derivative, where the second order derivative of the exact solution is unbounded. Based on the equivalent form of the main equation, a finite difference scheme is derived. The $L_∞$ convergence of the difference system is discussed rigorously. The convergence rate in general improves previous results. Numerical examples are provided to demonstrate the theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.181016.300517e},
url = {http://global-sci.org/intro/article_detail/eajam/10718.html}
}