Numerical solution of three-dimensional Volterra-Hammerstein integral equations by hybrid of block-pulse and Legendre polynomials
نویسندگان
1 Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
2 Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
doi
10.22075/ijnaa.2023.30187.4358چکیده
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.
