A reliable computational approach for approximate solution of Hammerstein integral equations of mixed type

Abstract

The aim of this article is to present an efficient analytical and numerical procedure for solving the nonlinear Hammerstein integral equations of mixed type. Our method mainly depends on a Taylor expansion approach. Also, we obtain the approximate solution of the nonlinear Volterra–Hammerstein integral equations of mixed type in terms of the Taylor polynomials. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments.

Keywords:

• Taylor polynomials
• Hammerstein integral equations of mixed type
• Volterra–Hammerstein integral equations of mixed type
• Numerical treatments