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Thomas algorithm tridiagonal matrix

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m m
m m 2019-5-22
Hi,
how to solve a tridiagonal system by the thomas algorithm with 3 equations (each equation has a tridiagonal system) .. the first equation and the second equation depend on the third equation (coupled system).
Knowing that Thomas algoritm is based on two steps: (forward elimination and backward substitution), How can i solve the 3 equation one after the other in the same iteration... (because they are coupled)?.

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