Weak formulation of Boundary Value Problem

**johnbarkwith** · November 25th 2008, 07:07 AM

I have been trying to complete the following question (attached) however I can not find any similar examples anywhere. Does anyone know how I can go about formulating the weak problem from the differential equation??

**gre13** · November 26th 2008, 01:51 AM

This is very simple. Follow the solution of Question 2i on Problem Sheet 3. You have the same equation with different boundary values.
If you still can't do it I will give more details.

**gre13** · November 26th 2008, 02:03 AM

I forgot to mention that the procedure is the same as when hou have the diffusion problem
$<br /> -u_{xx}=f(x)<br />$
You just multiply by the test function $v(x)\in H^{1}_{0}(0,1)$ and then integrate by parts. Afterwards you will use the boundary conditions.

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