Question: 5. Consider the boundary-value problem -Uxx+u = f(x), x (0,1) u(0)= U (1) = b = a Given a partition 0 = 0 <

5. Consider the boundary-value problem -Uxx+u = f(x), x (0,1) u(0)= U

5. Consider the boundary-value problem -Uxx+u = f(x), x (0,1) u(0)= U (1) = b = a Given a partition 0 = 0 < x < < In = 1, please formulate a piecewise linear continuous finite element method to solve the problem. Show that your method has a unique solution.

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