Efficient quadrature methods for solving Hammerstein integral equations on the half-line

	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
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

آمار تعداد مشاهده مقاله: 45,049 تعداد دریافت فایل اصل مقاله: 51,126

پیوندهای مفید

آمار