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| Title: | A method of treating boundary singularities in time-dependent problems |
| Authors: | Bell, GE |
| Publication Date: | 1972 |
| Publisher: | Brunel University |
| Citation: | Maths Technical Papers (Brunel University). February 1972 , pp 1-19 |
| Abstract: | A method is presented for treating singularities which
occur in solutions of Parabolic partial differential
equations due to sharp corners in the boundary.
The method is essentially an extension of the method
due to Motz (1946) for solving Elliptic problems and
approximates to the analytical form of the singularity
in terms of neighbouring function values at each time
step. It is used in conjunction with the simple explicit
finite-difference scheme and subsequently the overall
method is explicit. |
| URI: | http://bura.brunel.ac.uk/handle/2438/2246 |
| Appears in Collections: | Mathematics Technical Papers
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