Find the 5 by 5 matrix A0 (h = 1 6 ) that approximates d 2u dx2 = f(x), du dx (0) = du

Chapter 1, Problem 1.7.3

(choose chapter or problem)

Find the 5 by 5 matrix A0 (h = 1 6 ) that approximates d 2u dx2 = f(x), du dx (0) = du dx (1) = 0, replacing these boundary conditions by u0 = u1 and u6 = u5. Check that your A0 times the constant vector (C,C,C,C,C), yields zero; A0 is singular. Analogously, if u(x) is a solution of the continuous problem, then so is u(x) +C.

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