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ISRN Mathematical Analysis
Article . 2011 . Peer-reviewed
License: CC BY
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ISRN Mathematical Analysis
Article
License: CC BY
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zbMATH Open
Article . 2011
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Wave Scattering in Inhomogeneous Strings

Wave scattering in inhomogeneous strings
Authors: Iraniparast, Nezam;

Wave Scattering in Inhomogeneous Strings

Abstract

The scattering of waves in an inhomogeneous infinite string with one change in the density of the string is well known. In this paper, we study the case where there are two discontinuities in the density of the string. It turns out that we can write the solution for this case as well. The form of the solution will be given in finite sums of reflected and transmitted waves over finite time. The finite sums become converging infinite series for infinite time.

Related Organizations
Keywords

Wave scattering in solid mechanics, string, Strings, wave scattering, Series solutions to PDEs, PDEs in connection with mechanics of deformable solids, finite sums solutions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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