Numerical solution of three-dimensional Volterra-Hammerstein integral equations by hybrid of block-pulse and Legendre polynomials

Document Type : Research Paper


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


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.


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Volume 15, Issue 1
January 2024
Pages 241-249
  • Receive Date: 05 December 2022
  • Revise Date: 14 March 2023
  • Accept Date: 27 March 2023