A collocation method for solving some integral equations in distributions

摘要

A collocation method is presented for the numerical solution of a typical integral equation Rh:=∫DR(x,y)h(y)dy=f(x),x∈D¯ of the class R, whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space Rr, and D⊂Rr is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method.