Abstract: A nonconforming generlized difference approximation for solving Stokes equations, in 2-dimension is proposed with triangular element mesh method. The subspace of velocity field is formed by piecewise-linear functions, the subspace of pressure and those of test functions are formed by precewise constant functions.Error estimates for this approximation in both velocity and pressure are also given wtih showing optimal approximate order.

Key words: Stokes problem, nonconforming element, gereralized difference method