Alternating-direction implicit method: Difference between revisions

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delta_p is the central difference operator, not delta_p^2, which is for the second derivative
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\left(u_{ij}^{n+1}+u_{ij}^n\right)</math>
 
where <math>\delta_p^2</math> is the central difference operator for the ''p''-coordinate.
After performing a stability analysis, it can be shown that this method will be stable for any ''r''.