In this paper, by reproducing kernel of the space W ,the Hermitean numerical solution u 2m,2n (x,y) of the dual Fredholm integral equations of second kind is constructed.It is also proved that,as the density of the no...In this paper, by reproducing kernel of the space W ,the Hermitean numerical solution u 2m,2n (x,y) of the dual Fredholm integral equations of second kind is constructed.It is also proved that,as the density of the node system increases infinitely, u 2m,2n (x,y)、u 2m,2n x′(x,y),u 2m,2n y′(x,y) and u 2m,2n xy″(x,y) ,uniformly coverge to u(x,y),u x′(x,y),u y′(x,y), and u xy″(x,y). Furthermore,the error of the approximate solution decreases monotoically in the W space norm as the nodes increases.展开更多
文摘In this paper, by reproducing kernel of the space W ,the Hermitean numerical solution u 2m,2n (x,y) of the dual Fredholm integral equations of second kind is constructed.It is also proved that,as the density of the node system increases infinitely, u 2m,2n (x,y)、u 2m,2n x′(x,y),u 2m,2n y′(x,y) and u 2m,2n xy″(x,y) ,uniformly coverge to u(x,y),u x′(x,y),u y′(x,y), and u xy″(x,y). Furthermore,the error of the approximate solution decreases monotoically in the W space norm as the nodes increases.
