Description
(Part A) Find the weak form of -d^2u/dx^2 + u - x = 0 on x=[0,1], where u(0)=1 and u(1)=0.
(Part B) solve this equation using the finite element method with linear interpolation functions and compare to the exact solution, which is given by:
u(x) = x - [sinh(x)/sinh(1)]
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1. Find the weak form of
dau
+u- x = 0 on x=[0,1]
u(0) = 1
u(1) = 0
2. Solve this equation using the finite element method with linear interpolation
functions and compare to the exact solution, which is given by:
sinh(x)
u(x) = x -
sinh(1)
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