Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
| Autor: | Houde Han, Hermann Brunner, Dongsheng Yin |
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| Rok vydání: | 2014 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Fictitious domain method Applied Mathematics Mathematical analysis 010103 numerical & computational mathematics Mixed boundary condition Singular boundary method 01 natural sciences Robin boundary condition Poincaré–Steklov operator Computer Science Applications 010101 applied mathematics Computational Mathematics Modeling and Simulation Free boundary problem Neumann boundary condition Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Journal of Computational Physics. 276:541-562 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2014.07.045 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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