Hybrid Function Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

Main Authors: jianhua Hou, Changqing Yang, and Beibo Qin
Format: Article
Bahasa: eng
Terbitan: , 2013
Subjects:
Online Access: https://zenodo.org/record/1087876
Daftar Isi:
  • A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed. The Fredholm type equations which have many applications in mathematical physics are then considered. The method is based on hybrid function approximations. The properties of hybrid of block-pulse functions and Chebyshev polynomials are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.