NUMERICAL SOLUTION FOR FREDHOLM INTEGRAL EQUATIONS

Abstract

The integral Fredholm-Hammerstein integral equation has many applications in various areas of mathematical physics, including heat transfer problems fluid dynamics and quantum mechanics . In this thesis, we focus on the numerical treatment of the Fredholm-Hammerstein equations using the Galerkin method and the shifted Chebyshev Polynomial method. To test the efficiency and the accuracy of this method, one numerical example with known exact solution is presented. Numerical results show that the conveyance of this method is in good agreement with the exact solution. Moreover, we conclude that the in Galerkin method and shifted Chebyshev method provides very accurate results.