Sahimi, M. S. and Alias, N. and Mansor, N. A. and Nor, N. M. (2003) Parabolic-elliptic correspondence of a three-level finite difference approximation to the heat equation. Bulletin of the Malaysian Mathematical Sciences Society . pp. 79-85.
We consider three-level difference replacements of parabolic equations focussing on the heat equation in two- space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an ADI method. Using the well-known fact of the parabolic-elliptic correspondence, we shall derive a two-stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step.
|Subjects:||Q Science > QA Mathematics|
|Deposited By:||Dr Siew Ling Lee|
|Deposited On:||08 Oct 2008 04:22|
|Last Modified:||10 May 2011 08:58|
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