Abstract:

In this talk we will present an efficient collocation method in the disk, calculating the respective differentiation matrices for nonhomogeneous boundary conditions, with no lifting. The differentiation matrices, for polar coordinates, of the nonhomogeneous Laplace equation subjected respectively to Dirichlet, Neumann or Robin nonhomogeneous boundary conditions and of the biharmonic equation subjected to Dirichlet nonhomogeneous boundary conditions will be obtained. A collection of several numerical examples will be shown.