Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations in two-dimensional spaces based on Block Pulse functions

作者：

Highlights：

• A numerical technique based on Block Pulse functions is proposed.

• Two-dimensional nonlinear Volterra–Fredholm–Hammerstein integral equations are firstly numerically solved.

• The proposed method is to transform the Volterra–Fredholm integral equations into a system of algebraic equations.

• The main characteristic behind the algorithm is operator theory.

摘要

•A numerical technique based on Block Pulse functions is proposed.•Two-dimensional nonlinear Volterra–Fredholm–Hammerstein integral equations are firstly numerically solved.•The proposed method is to transform the Volterra–Fredholm integral equations into a system of algebraic equations.•The main characteristic behind the algorithm is operator theory.

论文关键词：Block Pulse functions,Operational matrix,Nonlinear integral equation,Volterra–Fredholm–Hammerstein

论文评审过程：Received 14 June 2016, Available online 28 December 2016, Version of Record 9 January 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2016.12.028