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Artificial Boundary Conditions and Finite Difference Approximations for

Xiaodong Huang Tsinghua University Yin Dongsheng Tsinghua University

Numerical Analysis and Scientific Computing mathscidoc:1612.25001

We consider the numerical solution of the time-fractional diffusion-wave equation on two-dimensional and three-dimensional unbounded spatial domains. 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. Finite difference methods are used to solve the reduced problems on the bounded computational domain and the stability of these finite difference methods are proved. The numerical results demonstrate that the method given in this paper is effective and feasible.
Time-fractional diffusion-wave equation unbounded spatial domain artificial boundary
[ Download ] [ 2016-12-07 10:56:27 uploaded by YinDongsheng ] [ 1191 downloads ] [ 0 comments ] 
@inproceedings{xiaodongartificial,
  title={Artificial Boundary Conditions and Finite Difference Approximations for},
  author={Xiaodong Huang, and Yin Dongsheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161207105627745902676},
}
Xiaodong Huang, and Yin Dongsheng. Artificial Boundary Conditions and Finite Difference Approximations for. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161207105627745902676.
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