On the sinc-Galerkin method for triharmonic boundary-value problems

Abstract

A numerical scheme is developed to provide an approximate solution to the triharmonic boundary value problem. Based on the sinc inner product approximations, a direct discretization of the triharmonic operator Δ3 reduces the problem to a generalized Sylvester equation. Numerical examples illustrate the pertinent features of the sinc-Galerkin method where very accurate results are obtained even when singularities occur at the boundaries.