Trigonometric wavelet method for some elliptic boundary value problems

In this paper, we apply trigonometric wavelet method to investigate the numerical solution of elliptic boundary value problem in an exterior unit disk. The simple computation formulae of the entries in the stiffness matrix are obtained. It shows that we only need to compute 2(2j + 1) elements of one 2j+2 × 2j+2 stiffness matrix. Moreover, the error estimates of the approximation solutions are given and some test examples are presented.