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Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain

Language

English

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. © 2014 Elsevier Inc.

Keywords

Artificial boundary conditions, Numerical solution, Time-fractional diffusion-wave equation, Unbounded spatial domain

Publication Date

2014

Source Publication Title

Journal Of Computational Physics

Volume

276

Start Page

541

End Page

562

Publisher

Elsevier

ISSN (print)

00219991

ISSN (electronic)

10902716

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