Cameron, Paul T. (1967). Computer methods for the heat conduction equation. PHD thesis, Aston University.
Abstract
The merits of various numerical methods for the solution of the one and two dimensional heat conduction equation with a radiation boundary condition have been examined from a practical standpoint in order to determine accuracies and efficiencies. It is found that the use of five increments to approximate the space derivatives gives sufficiently accurate results provided the time step is not too large; further, the implicit backward difference method of Liebmann (27) is found to be the most accurate method. On this basis, a new implicit method is proposed for the solution of the three-dimensional heat conduction equation with radiation boundary conditions. The accuracies of the integral and analogue computer methods are also investigated.
Divisions: | ?? 50811700Jl ?? |
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Institution: | Aston University |
Uncontrolled Keywords: | computer methods,heat conduction |
Last Modified: | 08 Dec 2023 08:41 |
Date Deposited: | 05 Nov 2013 09:06 |
Completed Date: | 1967-11 |
Authors: |
Cameron, Paul T.
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