Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation

Author:
Laurence Halpern

Journal:
Math. Comp. **38** (1982), 415-429

MSC:
Primary 65M05

DOI:
https://doi.org/10.1090/S0025-5718-1982-0645659-6

MathSciNet review:
645659

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Abstract: When computing a partial differential equation, it is often necessary to introduce artificial boundaries. Here we explain a systematic method to obtain boundary conditions for the wave equation in one dimension, fitting to the discretization scheme and stable. Moreover, we give error estimates on the reflected part.

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DOI:
https://doi.org/10.1090/S0025-5718-1982-0645659-6

Article copyright:
© Copyright 1982
American Mathematical Society