Document Type : Research Paper

Authors

• Hossein Ghiasi
• Rahele Nuraei

Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Our work proposes a new numerical method for finding the solution of three-dimensional Volterra-Hammerstein integral equations by using three-dimensional hybrid block-pulse functions and Legendre polynomials. Our integral equation is converted to a system of nonlinear equations. An error bound for the suggested method is established. Eventually, some numerical examples illustrate that our method is feasible and efficient.

Keywords

• three-dimensional Volterra-Hammerstein integral equations
• hybrid functions
• Legendre polynomials
• collocation points
• numerical Solution