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