@Article{EAJAM-7-752, author = {}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181016.300517e}, url = {http://global-sci.org/intro/article_detail/eajam/10718.html} }