Alternative DRM formulations

In this paper, we present two DRM formulations. For a pseudo–Poisson equation, if the right hand side is a linear operation on the dependent variable, we can derive a new DRM formulation. In comparison with the traditional DRM formulation for the same equation, the new one is much easier and more efficient. For the axisymmetric Poisson equation, we construct a DRM formalation by using the linear axisymmetric radial basis function. The particular solution involved is written in a closed form, and thus speeds up the evaluation of the particular solution. A few numerical examples demonstrate the accuracy and efficiency of these formulations.