@Article{CiCP-21-16,
author = {Wei Zhang, Jiang Yang, Jiwei Zhang and Qiang Du},
title = {Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {1},
pages = {16--39},
abstract = {<p style="text-align: justify;">This paper is concerned with numerical approximations of a nonlocal heat
equation define on an infinite domain. Two classes of artificial boundary conditions
(ABCs) are designed, namely, nonlocal analog Dirichlet-to-Neumann-type ABCs
(global in time) and high-order Padé approximate ABCs (local in time). These ABCs
reformulate the original problem into an initial-boundary-value (IBV) problem on a
bounded domain. For the global ABCs, we adopt a fast evolution to enhance computational
efficiency and reduce memory storage. High order fully discrete schemes,
both second-order in time and space, are given to discretize two reduced problems.
Extensive numerical experiments are carried out to show the accuracy and efficiency
of the proposed methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0033},
url = {http://global-sci.org/intro/article_detail/cicp/11230.html}
}