finite element for 1d poisson equation

I would like to write down a finite element code for:

with three different basis functions (linear,quadratic,cubic). Any idea will be appreciated.

Answer 1

[Sulaymon Eshkabilov]

You can employ matlab's PDE toolbox fcn pdepe(). How to use it:

doc pdepe

Also, you can find some good help in this DOC.

[Torsten]

It's an assignment. The OP is not free in the choice of the tools he can use.

[Rahim Islam]

I'm aware of pdepe. However, i need write a code as @Torsten said.