We consider three classical equations that are important examples of parabolic, elliptic, and hyperbolic partial differential equations, namely, the heat equation, the Laplace's equation, and the wave equation. We derive them from physical principles, explore methods of finding solutions, and make observations about their applications.
Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc277898 |
Date | 08 1900 |
Creators | Thompson, Jeremy R. (Jeremy Ray) |
Contributors | Iaia, Joseph A., Arvola, William A., Brozovic, Douglas |
Publisher | University of North Texas |
Source Sets | University of North Texas |
Language | English |
Detected Language | English |
Type | Thesis or Dissertation |
Format | v, 67, [1] leaves, Text |
Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Thompson, Jeremy R. (Jeremy Ray) |
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