Question: Write down a tridiagonal linear system of dimension 3 or dimension 5 to solve the problem: 2u''(x) + u(x) = 61 [1 (x

Write down a tridiagonal linear system of dimension 3 or dimension 5 to solve the problem:


−2u''(x) + u(x) = 61 [1 − (x − 0.5)2] for x ∈ (0, 1)

u(0) = 2 and u(1) = 3


With step-size n = 4 (i.e., with x0 = 0 and x4 = 1).

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