@article{61f0f7b38de4459cad0cd42216fedc67,
title = "Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain",
abstract = "We consider the numerical solution of the time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain. Introduce an artificial boundary and find the exact and approximate artificial boundary conditions for the given problem, which lead to a bounded computational domain. Using the exact or approximating boundary conditions on the artificial boundary, the original problem is reduced to an initial-boundary-value problem on the bounded computational domain which is respectively equivalent to or approximates the original problem. A finite difference method is used to solve the reduced problems on the bounded computational domain. The numerical results demonstrate that the method given in this paper is effective and feasible.",
keywords = "Artificial boundary conditions, Numerical solution, Time-fractional diffusion-wave equation, Unbounded spatial domain",
author = "Hermann Brunner and Houde Han and Dongsheng Yin",
note = "Funding Information: The research of H. Brunner was supported by the Hong Kong Research Grants Council (RGC Project 200212 ) and the Natural Sciences and Engineering Research Council ( NSERC ) of Canada (Discovery Grant No. A9406 ). This author also gratefully acknowledges the kind hospitality extended to him by Professor Houde Han and the Department of Mathematical Sciences of Tsinghua University (Beijing) during a recent visit during which part of this work was carried out. H. Han was supported by NSFC grant No. 91330203 and NSFC grant No. 11371218 . D. Yin was supported by NSFC grant No. 10901091 , NSFC grant No. 60873252 and The Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions . ",
year = "2014",
month = nov,
day = "1",
doi = "10.1016/j.jcp.2014.07.045",
language = "English",
volume = "276",
pages = "541--562",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
}