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I am trying to solve a system consisting of tridigonal matrices and looks like this:

v1(1,4) [itex]^{n+1}[/itex]= v1(1,4) [itex]^{n}[/itex] + [itex]\Delta[/itex]t* [ tridiagonal(4,4)*v1(1,4) + tridiagonal(4,4)*v2(1,4) ][itex]^{n}[/itex]

v2(1,4) [itex]^{n+1}[/itex]= v2(1,4) [itex]^{n}[/itex] + [itex]\Delta[/itex]t* [ tridiagonal(4,4)*v2(1,4) + tridiagonal(4,4)*v1(1,4) ][itex]^{n}[/itex]

when n is the time step number. [itex]\Delta[/itex]t is the time step. and x(1,4) means a matrix with 1 column and 4 rows.

I have boundary conditions at t=0, v1 = v2 = 0. And at any other time v1(1) = 0 and v2(4) = 1.

I have seen methods on solving tridiagonal matrices but been struggling to find one like this.. Please help!!!

Cheers!!

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# Solving a system of tirdiagonal matrices

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