For each of the following boundary value problems, (i) Solve the problem exactly. (ii) Approximate the solution
Question:
(i) Solve the problem exactly.
(ii) Approximate the solution using the finite element method based on 10 equally spaced nodes.
(iii) Compare the graphs of the exact solution and its piecewise affine finite element approximation.
(iv) What is the maximal error?
a.
b.
c.
d.
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