Numerical solution of non-linear Fredholm-Hammerstein integral equation via Schauder bases. (1st January 2013)

• Record Type: Journal Article
• Authors: Berenguer, M.I.; Gámez, D.
• Is Part Of: International journal of applied nonlinear science. Volume 1:Number 1(2013)
• Page Start: 20
• Page End: 29
• Publication Date: 2013-01-01
• Subjects: nonlinear Fredholm-Hammerstein integral equation -- fixed point -- Schauder bases; Science -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; Nonlinear theories -- Periodicals; 501.5118
• Languages: English
• ISSNs: 1752-2862

Abstract

In this paper, we obtain an approximation of the solution of the nonlinear Fredholm-Hammerstein integral equation by means of a new method for its numerical resolution. The main tools used to establish it are the properties of a Schauder basis in a Banach space and the Banach fixed point theorem.