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Finite Difference Methods for Approximating Solutions to the Heat Equation (open access)

Finite Difference Methods for Approximating Solutions to the Heat Equation

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.
Date: August 1982
Creator: Neuberger, Barbara O. (Barbara Osher)
System: The UNT Digital Library