Solution Interpolation Method for Highly Oscillating Hyperbolic Equations

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 eq...

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Bibliographic Details
Main Authors: Pilwon Kim, Chang Hyeong Lee
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/546031
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