Element method on a uniform partition of the interval

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Reference no: EM132168686

(Programming) Consider the following linear BVP with Dirichlet boundary conditions

- u" + 4u(x) = 0,0 < x < 1    (3)
u(0) = 1,                          (4)
u(1) = 2.    (5)

Numerically solve this problem using finite element method on a uniform partition of the interval, with piecewise linear element functions.

Plot the solutions with different mesh sizes, and comment on the order of accuracy of the solution in L₂ norm and energy norm.

Reference no: EM132168686

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len2168686

11/16/2018 10:11:52 PM

could you please help me with that problem and explain how to compute L2 error and energy error Plot the solutions with different mesh sizes, and comment on the order of accuracy of the solution

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