Author(s)

C.S. Chen & C.A. Brebbia

Abstract

In the past Laplace and biharmonic operators have been largely used as the main differential operators in the dual reciprocity method (DRM). One of the major reasons of doing so is the difficulty in obtaining approximate particular solutions in closed form. As a consequence, when the forcing term is more involved, the interpolation error may get worse and the solution of the original differential equation becomes less accurate. In the recent development of the DRM, the analytical approximate par- ticular solutions for Helm holt z-type operators have been derived by using thin plate spline as a basis function. In this paper we test and compare the results of solving Helmholtz-type equations by using Laplace and Helmhotz-

Keywords