Physical Motivation and Methods of Solution of Classical Partial Differential Equations

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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.

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v, 67, [1] leaves

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Thompson, Jeremy R. (Jeremy Ray) August 1995.

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  • Thompson, Jeremy R. (Jeremy Ray)

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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.

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v, 67, [1] leaves

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  • August 1995

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  • March 24, 2014, 8:07 p.m.

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  • June 18, 2014, 4:04 p.m.

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Thompson, Jeremy R. (Jeremy Ray). Physical Motivation and Methods of Solution of Classical Partial Differential Equations, thesis, August 1995; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc277898/: accessed November 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .