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If there are N grid points in both the x and y-directions, how many times does the ADI scheme use the Thomas algorithm?

a) N/2
b) 2
c) N2
d) 2N

Answer: d
Explanation: In the first step of the ADI scheme, the Thomas algorithm is used N times to solve in the x-direction. Similarly, in the y-direction, again the Thomas algorithm is used N times to get the solutions. Totally, the Thomas algorithm is used 2N times.

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