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

	Numerical solution of three-dimensional Volterra-Hammerstein integral equations by hybrid of block-pulse and Legendre polynomials
International Journal of Nonlinear Analysis and Applications
مقاله 20، دوره 15، شماره 1، فروردین 2024، صفحه 241-249 اصل مقاله (834.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30187.4358
نویسندگان
Hossein Ghiasi؛ Rahele Nuraei^*
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
three-dimensional Volterra-Hammerstein integral equations؛ hybrid functions؛ Legendre polynomials؛ collocation points؛ numerical Solution
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