NUMERICAL SOLUTION FOR VOLTERRA-FREDHOLMINTEGRAL EQUATION OF THE SECOND KINDBY USING LEAST SQUARES TECHNIQUE

Abstract

In this paper we investigate the numerical solution of an important class of
mixed linear integral equations, called Volterra-Fredholm integral equations which
are used in technology, mechanics and mathematical physics.
The basic concepts are: First, approximates the unknown function by a tensor
product (Algebraic or Chebyshev)-surface and substituting it in the Volterra-
Fredholm integral equations. Second, apply least-square technique for minimizing
the error terms on the given domain. Third, obtain a system of linear algebra
equations which we solve for control points.
An algorithm is illustrated by several numerical examples with comparison tables
and written computer programs in MatLab (V 7.1) for the given algorithm.