An algorithmic approach for solution of nonlinear Fredholm-Hammerstein integral equations

Author(s):

H. Saberi Najafi , S. A. Edalatpanah* , H. Aminikhah

Message:
Abstract:
In this paper, we present a new computational technique for solving nonlinear Fredholm integral equations of the second kind. This proposed method is based on Galerkin method and is computationally very attractive. Moreover, for reducing the operations in comparing similar works, we design our algorithm based on transformations of orthogonal polynomials in approximation coefficients calculating scheme. Finally, for showing the reliability and efficiency of this method, we use some numerical examples.
Keywords:

Nonlinear Fredholm integral equation , Hammerstein equations , Galerkin method , Legendre polynomials , Trial space , Taylor expansion

Language:
English
Published:
Iranian Journal of science and Technology (A: Siences), Volume:39 Issue: 3, Summer 2015
Pages:
399 to 406
https://www.magiran.com/p1469715  
سامانه نویسندگان
  • Edalatpanah، Seyyed Ahmad
    Corresponding Author (2)
    Edalatpanah, Seyyed Ahmad
    (1394) دکتری ریاضی کاربردی، دانشگاه گیلان
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