MathLAB Journal

Chelyshkov's Collocation Method for Solving Three-Dimensional Linear Fredholm Integral Equations

Abstract

Doaa Shokry Mohamed

The main purpose of this work is to use the Chelyshkov-collocation method for the solution of three- dimensional
Fredholm integral equations. The method is based on the approximate solution in terms of Chelyshkov polynomials
with unknown coecients. This method transforms the integral equation to a system of linear algebraic equations
by means of collocation points. Finally, numerical results are included to show the validity and applicability of the
method and comparisons are made with existing results