Use this URL to cite or link to this record in EThOS:
Title: Computer methods for the heat conduction equation
Author: Cameron, Paul T.
ISNI:       0000 0001 3515 1835
Awarding Body: University of Aston in Birmingham
Current Institution: Aston University
Date of Award: 1967
Availability of Full Text:
Access from EThOS:
Access from Institution:
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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral