@Article{NMTMA-5-559,
author = {Hongbin Chen and Da Xu},
title = {A Compact Difference Scheme for an Evolution Equation with a Weakly Singular Kernel},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2012},
volume = {5},
number = {4},
pages = {559--572},
abstract = {<p style="text-align: justify;">This paper is concerned with a compact difference scheme with the truncation error of order 3/2 for time and order 4 for space to an evolution equation with a weakly singular kernel. &nbsp;The integral term is treated by means of the second order convolution quadrature suggested by Lubich. The stability and convergence are proved by the energy method. A numerical experiment is reported to verify the theoretical predictions.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2012.m11032},
url = {http://global-sci.org/intro/article_detail/nmtma/5949.html}
}