A new general method for numerical solution of linear integral equations in numerical electromagnetics

The method minimizes mean square error of the approximate solution. It is different from classical least square method which minimizes the residual of integral equations. The method is presented for the general, one-dimensional case, and in the case of surface integral equations, which are of particular interest in electromagnetics. Typical results presented for charge distribution over a prolate ellipsoid and current distribution along a wire scatterer show that, by proper choice of the integral equation and basis functions, the method converges very fast to the exact solution