The Finite element and the finite difference methods were applied to a confined flow over a cylinder. The values of velocity potential (F), the stream function (Y) and the velocity distribution are calculated by using a computer programs achieved by the researcher. The results revealed that, convergence and divergence were achieved between the equipotential lines by two methods. The finite element method
has been shown to be a powerful tool. Small elements may be used in areas of rapid change and large elements may be used where variations are less severe. The boundary conditions are handled naturally by the finite element method in contrast to the finite difference method.
This study shows that the finite element method is the best technique for the solution of practical engineering problems like thermal and fluid flows (steady state or unsteady problems).