Solving Generalized Crank-Nicolson Problem with MATLAB

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flyingcarpet
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can anybody help me about the attached problem about generalized Crank-Nicolson scheme. I need MATLAB code. How can i write a tri-diagonal solver for this problem?
 
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  • Photo of a handwritten finite-difference scheme for the diffusion equation, with the theta-weighted form Δt equation and a line below defining μ = (αΔt)/(Δx²), followed by a printed computations problem statement listing initial and boundary conditions, schemes with λ values, and μ values to test.
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Discussion

Can you explain what you mean with tri-diagonal solver?
 

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