Approximate solution: The Fredholm factorization

This chapter discusses the approximate solution of the Fredholm factorization. Chapter Contents: 5.1 The integral equations in the α − plane 5.1.1 Introduction 5.1.2 Source pole αο with positive imaginary part 5.1.3 Analytical validation of a particular W-H equation 5.1.4 A property of the integral in the Fredholm equation 5.1.5 Numerical solution of the Fredholm equations 5.1.6 Analytic continuation outside the integration line 5.2 The integral equations in the w − plane 5.3 Additional considerations on the Fredholm equations 5.3.1 Presence of poles of the kernel in the warped region 5.3.2 The Fredholm factorization for particular matrices 5.3.3 The Fredholm equation relevant to a modified kernel Inspec keywords: Fredholm integral equations; computational electromagnetics Other keywords: computational electromagnetics; Fredholm factorization Subjects: Numerical approximation and analysis; Electric and magnetic fields; Integral equations (numerical analysis); Classical electromagnetism