  Inspired by the Galerkin and particular method, a new approximation approach
is recalled in the Cartesian case. In this paper, we are interested specially
by constructing this method, when the domain of consideration is a two
dimensional ball, to extend this work to the several dimension. We reduce the
number of iterations to calculate integrals and numerical solution of Poisson
and the Heat problems (elliptic nd parabolic PDEs), in a very fast way.
