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    The Method of Characteristics: A Study of Waves

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    Date
    2016-08-10
    Author
    Malthaner, Ryan
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    Abstract
    The method of characteristics is a powerful and intuitive tool for obtaining solutions to the PDEs that model various waves. This method takes advantage of the underlying geometry of the physical phenomena to find a family of curves which can be used to construct the final solution surface. During the course of this paper, this method will be showcased using the advection equation in its various forms: homogeneous, nonhomogeneous, and generalized linear. In each case, new properties of the method of characteristics will be explained, culminating in the application of the theory to the nonlinear advection equation to describe shockwaves and their properties.
    URI
    http://hdl.handle.net/2104/9739
    Department
    Mathematics.
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    Copyright © Baylor® University All rights reserved. Legal Disclosures.
    Baylor University Waco, Texas 76798 1-800-BAYLOR-U
    Baylor University Libraries | One Bear Place #97148 | Waco, TX 76798-7148 | 254.710.2112 | Contact: libraryquestions@baylor.edu
    If you find any errors in content, please contact librarywebmaster@baylor.edu
    DSpace software copyright © 2002-2016  DuraSpace
    Contact Us | Send Feedback
    TDL
    Theme by 
    Atmire NV