Alternating-direction implicit method: Difference between revisions

Revision as of 06:20, 12 December 2007

Revision as of 11:18, 19 December 2007

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This an unaffordable numerical stability criterion.

The idea behind the ADI method is to split the finite difference equations into two, one with the x-derivative taken implicitelyimplicitly and the next with the y-derivative taken implicitelyimplicitly,

<math>{u_{ij}^{n+1/2}-u_{ij}^n\over \Delta t/2} =

\left(\delta_x^2 u_{ij}^{n+1/2}+\delta_y^2 u_{ij}^{n}\right)</math>