Hybrid meshless method for solving inhomogeneous polyharmonic equations

Abstract

We employ the method of particular solutions in the numerical solution of boundary value problems for inhomogeneous polyharmonic equations in two and three dimensions. An approximate particular solution of the governing partial differential equation is calculated using the radial basis function collocation method while the resulting homogeneous problems are solved using the method of fundamental solutions. The results of several numerical experiments demonstrate the efficacy of the proposed approach.