Alternating-direction implicit method: Difference between revisions

Revision as of 03:04, 12 December 2007

Revision as of 03:07, 12 December 2007

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== Background ==

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Consider the linear diffusion equation in two dimensions,

: <math>\frac{\partial u}{\over \partial t} = \del^2 u</math>

k \left({\partial^2 u\over \partial x^2 } +

{\partial^2 u\over \partial y^2 } +

\right)

= ( u_{xx} + u_{yy} + u_{zz} ) \quad </math>