University of Mohaghegh Ardabili Journal of Hyperstructures 2251-8436 5 1 2016 06 01 Reproducing kernel method for solving wiener-hopf equations of the second kind 56 68 2654 10.22098/jhs.2016.2654 EN Azizallah Alvandi Department of Mathematics, Hamedan Branch, Islamic Azad University , Iran Taher Lotf Department of Mathematics, Hamedan Branch, Islamic Azad University , Iran M. Paripour Department of Science, Hamedan University of Technology, Hamedan, 65156-579, Iran. Journal Article 2016 01 25 This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used. The advantage of this numerical method is the representation of exact solution in reproducing kernel Hilbert space and accuracy in numerical computation is higher. On the other hand, by improving the traditional reproducing kernel method and the definition of the operator of W Hilbert space, the solutions of Wiener Hopf equation of the second kind are obtained. The approximate solution converges uniformly and rapidly to the exact solution. Numerical examples indicate that this method is efficient for solving these equations. The validity of the method is illustrated with two examples. https://jhs.uma.ac.ir/article_2654_c5cb7242e2f5c1c3133862091004f294.pdf