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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 | ||
| تاریخ دریافت: 14 آذر 1401، تاریخ بازنگری: 23 اسفند 1401، تاریخ پذیرش: 07 فروردین 1402 | ||
| 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 | ||
| مراجع | ||
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