NUMERICAL SOLUTION FOR VOLTERRA-FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND BY USING LEAST SQUARES TECHNIQUE

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