Spline technique for second type of fredholm integral equations

Abstract EN

Integral equation plays very important tools in a developed science like numerous troubles in an engineering and mechanical sciences .

a cubic spline method renowned to begin with one powerful role to solve many functional equations like integral equations ,ordinary and partial differential equation .in our paper, a spline method is used to solve the problem linear integral equation of fredholm.

integral function is turned to polynomial by basis of cubic spline .

efficiency test of the proposed method , the comparison is check together with method of power series (least square method) and quadrature(nystrom) method,laguerre,legendre and hermite series method .

in MATLAB, all programs are written.