Solution Interpolation Method for Highly Oscillating Hyperbolic Equations
In: Journal of Applied Mathematics, Jg. 2013 (2013)
Online
academicJournal
Zugriff:
This paper deals with a novel numerical scheme for hyperbolic equations with rapidly changing terms. We are especially interested in the quasilinear equation ut+aux=f(x)u+g(x)un and the wave equation utt=f(x)uxx that have a highly oscillating term like f(x)=sin(x/ε), ε≪1. It also applies to the equations involving rapidly changing or even discontinuous coefficients. The method is based on the solution interpolation and the underlying idea is to establish a numerical scheme by interpolating numerical data with a parameterized solution of the equation. While the constructed numerical schemes retain the same stability condition, they carry both quantitatively and qualitatively better performances than the standard method.
Titel: |
Solution Interpolation Method for Highly Oscillating Hyperbolic Equations
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Autor/in / Beteiligte Person: | Kim, Pilwon ; Chang Hyeong Lee |
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Zeitschrift: | Journal of Applied Mathematics, Jg. 2013 (2013) |
Veröffentlichung: | Hindawi Limited, 2013 |
Medientyp: | academicJournal |
ISSN: | 1110-757X (print) ; 1687-0042 (print) |
DOI: | 10.1155/2013/546031 |
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