Abstract:
The finite element method is presented in this thesis, and we applied it for
obtaining the approximate solution to the two points boundary value problem.
This method uses the Galerkin method and the variational (weak) formulation
to convent the stronge form of the problem to linear algebriac system which
we solved it by using Matlab program. We estimate the errors for the solution
using linear and quadratic basis. We also show the equivelance relation between
Galerkin method and the minimizing of the problems. We also showed the
uniqueness of the solution using the finite element problem.