i want to solve a second order, homogeneous differential equation by using tridiagonal matrix. can u help me?
so, i want only a general matlab code to solve like this equation.
because i am using "finite difference method"
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Why not just build it as a sparse matrix using spdiags, then solve using backslash? It will be quite fast for a tridiagonal matrix, and you won't need to write any solver at all.
For example, I won't bother to do more than create a random tridiagonal matrix, rather than building one directly from your equation, but the time is all that matters.
n = 100000; A = spdiags(rand(n,3),-1:1,n,n); b = rand(n,1); tic,x = A\b;toc Elapsed time is 0.023090 seconds.
So to solve a system with 1e5 unknowns took me .023 seconds, with virtually NO time invested to write anything.