Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation
We present a method to achieve transparent boundary conditions for the one-dimensional wave equation, and show its numerical implementation using a finite-difference method. We also present an alternative method for building the same transparent boundary conditions using a Dirac-like equation an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/22/v2/abstr.html |
| Summary: | We present a method to achieve transparent boundary conditions
for the one-dimensional wave equation, and show its numerical implementation
using a finite-difference method. We also present an alternative method for
building the same transparent boundary conditions using a Dirac-like equation
and a Spinor-like formalism. Finally, we extend our method to the
three-dimensional wave equation with radial symmetry. |
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| ISSN: | 1072-6691 |