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- W2048653082 abstract "The purpose of this article is to illustrate how the study of partial differential equations (PDEs) can be made more accessible to undergraduates through the use of applications and computers. The analysis initially concentrates on travelling waves on strings and their reflections from boundaries. Then wave behaviour on strings with multiple interfaces, where incident waves are repeatedly reflected and transmitted, is investigated. Finally, the results are extended to waves in three-dimensional bodies in which longitudinal and transverse waves occur simultaneously. The effectiveness of a computer algebra system (CAS) for visualizing and understanding solutions is demonstrated. In particular, snapshots and sample code for Mathematica animations are provided to demonstrate the physical nature of the solutions. Although intended for PDE students, the contents of this paper are accessible to undergraduates who have studied ordinary differential equations (ODEs) and would be appealing to anyone with a natural curiousity about waves." @default.
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- W2048653082 date "2001-09-01" @default.
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- W2048653082 title "Elastic waves in regions with multiple interfaces" @default.
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- W2048653082 doi "https://doi.org/10.1080/00207390110067275" @default.
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