Finite Difference Methods for Approximating Solutions to the Heat Equation

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This paper is concerned with finite difference methods for approximating solutions to the partial differential heat equation. The first chapel gives some introductory background into the physical problem, then motivates three finite difference methods. Chapters II through IV provide statements and proofs for the theorems used in the methods of Chapter I. The final Chapter, V, provides conclusions and an indication of future work. An appendix includes the computer codes written by the author with numerical results.

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iii, 44 leaves

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Neuberger, Barbara O. (Barbara Osher) August 1982.

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  • Neuberger, Barbara O. (Barbara Osher)

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Description

This paper is concerned with finite difference methods for approximating solutions to the partial differential heat equation. The first chapel gives some introductory background into the physical problem, then motivates three finite difference methods. Chapters II through IV provide statements and proofs for the theorems used in the methods of Chapter I. The final Chapter, V, provides conclusions and an indication of future work. An appendix includes the computer codes written by the author with numerical results.

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iii, 44 leaves

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  • August 1982

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  • May 10, 2015, 6:16 a.m.

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  • Dec. 21, 2016, 10:36 a.m.

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Neuberger, Barbara O. (Barbara Osher). Finite Difference Methods for Approximating Solutions to the Heat Equation, thesis, August 1982; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc504382/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .