Author/Authors :
Rashidinia, J. iran university of science and technology - School of Mathematics, تهران, ايران , Khosravian Arab, H. amirkabir university of technology - Faculty of Mathematics and Computer Science - Department of Applied Mathematics, تهران, ايران , Parsa, A. iran university of science and technology - School of Mathematics, تهران, ايران
Abstract :
We develop a numerical method for solution the Hammerstein integral equations by using the Gauss-Legendre quadrature. The presented method yield a nonlinear system of 10 × 10 only, which is an advantage of our method in comparison with the existing methods. This method has been tested to six test problems of various kind to show the applicability and accuracy of presented approach.
Keywords :
Nonlinear integral equations , Hammerstein equations , Orthogonal polynomials , Gauss , Legendre quadrature.
