A collocation method for solving some integral equations in distributions

A collocation method is presented for the numerical solution of a typical integral equation Rh := integral(D) R(x. y)h(y)dy = f (x), x is an element of (D) over bar of the class R. whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space R(r), and D subset of R(r) is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.