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Efficient quadrature methods for solving Hammerstein integral equations on the half-line | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 33، دوره 13، شماره 2، مهر 2022، صفحه 361-369 اصل مقاله (377.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21812.2298 | ||
| نویسندگان | ||
| Fatima Hamani1؛ Azedine Rahmoune* 2 | ||
| 1Department of Mathematics, University of M'sila, 28000, Algeria | ||
| 2Department of Mathematics, University of Bordj Bou Arreridj, El Anasser, 34030, Algeria | ||
| تاریخ دریافت: 23 آبان 1399، تاریخ پذیرش: 23 فروردین 1400 | ||
| چکیده | ||
| In this paper, we proposed two numerical methods to solve the nonlinear integral equations of Hammerstein type on the half line. By using a Sinc-Nyström method based on Single-Exponential (SE) and Double-Exponential (DE) transformations, the problem is converted into a nonlinear system of equations. We provided an error analysis of the proposed schemes and showed that these methods have exponential convergence rates. Finally, several numerical examples are given to show the effectiveness of the methods. | ||
| کلیدواژهها | ||
| Hammerstein integral equations؛ Half line؛ Sinc quadrature؛ Nyström method | ||
| مراجع | ||
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