In this study, we applied Newton method with a new version of KSOR, called PKSOR to form NPKSOR in solving nonlinear second kind Fredholm integral equations. A KSOR is an update the two relaxation parameters. The properties helps enlargement solution domain so parameter can take value . With PKSOR, src=image/13425283_02.gif> treated into different paramaters as sr...

Abstract We analyse the global convergence of a Whittaker-type iterative method and obtain restricted domains, so that we can locate separate solutions Fredholm–Nemytskii nonlinear integral equations by means balls. For this, use two techniques, one based on well-known fixed point theorem other system recurrence relations. In both operator involved auxiliary functions.

We extend the recent stability results of Ambrozie for Fredholm essential complexes to the semi-Fredholm case. Let X,Y be Banach spaces. By an operator we always mean a bounded linear operator. The set of all operators from X to Y will be denoted by L(X,Y ). Denote by N(T ) and R(T ) the kernel and range of an operator T ∈ L(X, Y ). Recall that an operator T : X → Y is called semi-Fredholm if i...

In this paper the method of integral equations is proposed for some problems of electrical engineering ( current density, radiative heat transfer, heat conduction). Presented models lead to a system of Fredholm integral equations, integro-differential equations or Volterra-Fredholm integral equations, respectively. We propose various numerical methods (discretization method and projection metho...