دانشگاه سمنان

 آمار

تعداد نشریات22
تعداد شماره‌ها717
تعداد مقالات10,307
تعداد مشاهده مقاله72,269,789
تعداد دریافت فایل اصل مقاله63,999,698
Hamani, Fatima, Rahmoune, Azedine. (1401). Efficient quadrature methods for solving Hammerstein integral equations on the half-line. هنرهای کاربردی, 13(2), 361-369. doi: 10.22075/ijnaa.2021.21812.2298
Fatima Hamani; Azedine Rahmoune. "Efficient quadrature methods for solving Hammerstein integral equations on the half-line". هنرهای کاربردی, 13, 2, 1401, 361-369. doi: 10.22075/ijnaa.2021.21812.2298
Hamani, Fatima, Rahmoune, Azedine. (1401). 'Efficient quadrature methods for solving Hammerstein integral equations on the half-line', هنرهای کاربردی, 13(2), pp. 361-369. doi: 10.22075/ijnaa.2021.21812.2298
Hamani, Fatima, Rahmoune, Azedine. Efficient quadrature methods for solving Hammerstein integral equations on the half-line. هنرهای کاربردی, 1401; 13(2): 361-369. doi: 10.22075/ijnaa.2021.21812.2298

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

[1] N. Nahid, P. Das and G. Nelakanti, Projection and multi-projection methods for nonlinear integral equations on the half-line, J. Comp. Appl. Math. 359 (2019), 119–144.

[2] N. Nahid and G. Nelakanti, Convergence analysis of Galerkin and multi Galerkin methods for linear integral equations on half-line using Laguerre polynomials, Comput. Appl. Math. 38 (2019), no. 182.

[3] A. Rahmoune, Spectral collocation method for solving Fredholm integral equations on the half-line, J. App. Math. Comp. 219 (2013), no. 17, 9254–9260.

[4] A. Rahmoune and A. Guechi, Sinc-Nystrom methods for Fredholm integral equations of the second kind over infinite intervals, Appl. Numer. Math. 157 (2020), 579-–589.

[5] A. Rahmoune, On the numerical solution of integral equations of the second kind over infinite intervals, J. Appl. Math. Comput. 2020 (2020), 1–20.

[6] F. Stenger, Numerical methods based on sinc and analytic functions, 1st Edition, Springer-Verlag, New York, 1993.

[7] H. Takahasi and M. Mori, Double exponential formulas for numerical integration, Pub. Res. Inst. Math. Sci. 9 (1974), 721–741.

[8] K. Tanaka, M. Sugihara, K. Murota and M. Mori, Function classes for double exponential integration formulas, Numer. Math. 111 (2009), 631–655.

[9] Y. Weiss, On the approximation of fixed points of nonlinear compact operators, SIAM. J. Numer. Anal. 11 (1974), 550–553.

آمار
تعداد مشاهده مقاله: 45,032
تعداد دریافت فایل اصل مقاله: 51,095


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب