“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 2334 |
|
| Abstract: | |
|
Two finite difference schemes based on the classical three-point
forward time centred space(FTCS) method and the five-point FTCS
formula, are used to solve the three-dimensional time dependent
diffusion equation with a non-local boundary specification. In
these methods locally one-dimensional(LOD) procedures are used to
extend the one-dimensional techniques to solve the
three-dimensional problem. Numerical integration procedures are
also employed to overcome the non-local boundary specification.
Results from some numerical experiments are presented, including
error estimates derived in the maximum norm. The results of
numerical testing show that the LOD techniques give better results
than the fully explicit schemes. The CPU times used for the
procedures developed in this article are also reported.
Download TeX format |
|
| back to top | |
