A Numerical Method for the Minimum Norm Solution to the First Kind Integral Equations

  • Yun, Jae Heon (Department of Mathematics College of Natural Sciences Chungbuk National University)
  • Received : 1993.03.02
  • Published : 1993.06.30

Abstract

This paper introduces a numerical method approximating the minimum norm solution to the first kind integral equation Kf = g with its kernel satisfying a certain property, where g belongs to the range space of K. Most of the existing expansion methods suffer from choosing a set of basis functions, whereas this method automatically provides an optimal set of basis functions approximating the minimum norm solution of Kf = g. Perturbation results and numerical experiments are also provided to analyze this method.

Keywords