A SIMPLE AND EFFICIENT APPROACH BASED ON LAGUERRE POLYNOMIALS FOR SOLVING SCHLOMILCH?S INTEGRAL EQUATION

Abstract

The Schlo center dot milch's integral equation plays an important role in many ionospheric problems and is considered as an important and useful equa-tion in atmospheric and terrestrial physics. The equation is classified as a Fredholm integral equation of the first kind. This classification enables us to use and employ the tools available for solving Fredholm equations of the first kind. The motivation behind this work is to develop an efficient method that based on the regularization method and Laguerre polynomials for solving various types of Schlo center dot milch's integral equations.