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How to solve this coupled triangular system

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Old   February 3, 2016, 14:31
Default How to solve this coupled triangular system
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Wei Huang
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To whom it may concern

I'm trying to study this two coupled equations attached in the picture.

The target unknowns are w(i,n) and p(i,n) with spatial index i and temporal index n, everything else in these two equations are known such as a, Q, q, k, delta_z, delta_t. etc.

The original paper itself says Thomas algorithm works, however it works for the first eqn for I know p(i,n) then I know w(i,n). For the second eqn, if I know p and w at (n-1) time how can I solve for p and w simultaneously in time (n)?



Thanks for whoever think about it
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Old   October 23, 2017, 16:32
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somayeh
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hi i have the same problem . is there anybody who knows how we can solve these kinds of equations ?
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