@Article{IJNAM-16-2,
author = {Max, Gunzburger and Wang, Jilu},
title = {A Second-Order Crank-Nicolson Method for Time-Fractional PDEs},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {2},
pages = {225--239},
abstract = {<p style="text-align: justify;">Based on convolution quadrature in time and continuous piecewise linear finite element
approximation in space, a Crank-Nicolson type method is proposed for solving a partial differential
equation involving a fractional time derivative. The method achieves second-order convergence in
time without being corrected at the initial steps. Optimal-order error estimates are derived under
regularity assumptions on the source and initial data but without having to assume regularity of
the solution.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-12801},
url = {https://global-sci.com/article/83059/a-second-order-crank-nicolson-method-for-time-fractional-pdes}
}