The Numerical Solution of Fredholm integral Equations of the Second Kind

Abstract

When the kernel has several continuous derivatives, the method reduces to replacing the integral with a numerical integral and then to solving a finite linear system; see [1], [2], [3], [5], [11], [13]. In the followiing section, a generalized form of numerical inltegration is given for functioins of oine variable. It is applied to (1) in ?3, aild convergence of the resulting method is showii in ?4. Section 5 conitains computational notes and a numerical example.