Author(s): D.B. Ingham & Y. Yuan
In this paper we investigate the numerical solution of the one-dimensional,
time dependent heat conduction problem in which boundary conditions are
specified at two space locations and the temperature distribution at a
particular time, say T , is given.
The temperature distribution and the
heat flux for all time, t < T , are now required to be determined.
problem is an example of an inverse heat conduction problem and it is a
well known improperly posed problem.
In order to solve this problem the
minimal energy technique, in conjunction with the Boundary Element Method,
has been employed.
In order to save computer storage, a time marching
scheme is developed.
The results show that the numerical solutions using
the present technique are stable and ac...
Size: 627 kb
Paper DOI: 10.2495/BE940181
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