Sinc-Galerkin method for solving biharmonic problems

摘要

There are many techniques available to numerically solve the biharmonic equation. In this paper we show that the sinc-Galerkin method is a very effective tool in numerically solving this equation. Hermite interpolation is used to treat the nonhomogeneous boundary conditions. Our method is tested on examples and comparisons with other methods are made. It is shown that the sinc-Galerkin method yields good results even when singularities occur at the boundaries.