دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها620
تعداد مقالات9,100
تعداد مشاهده مقاله67,319,398
تعداد دریافت فایل اصل مقاله7,805,188
Khellaf, Ammar, Aissaoui, Mohamed. (1400). New theoretical conditions for solving functional nonlinear equations by linearization then discretization. نشریه هنرهای کاربردی, 13(1), 2857-2869. doi: 10.22075/ijnaa.2022.24699.2800
Ammar Khellaf; Mohamed Zine Aissaoui. "New theoretical conditions for solving functional nonlinear equations by linearization then discretization". نشریه هنرهای کاربردی, 13, 1, 1400, 2857-2869. doi: 10.22075/ijnaa.2022.24699.2800
Khellaf, Ammar, Aissaoui, Mohamed. (1400). 'New theoretical conditions for solving functional nonlinear equations by linearization then discretization', نشریه هنرهای کاربردی, 13(1), pp. 2857-2869. doi: 10.22075/ijnaa.2022.24699.2800
Khellaf, Ammar, Aissaoui, Mohamed. New theoretical conditions for solving functional nonlinear equations by linearization then discretization. نشریه هنرهای کاربردی, 1400; 13(1): 2857-2869. doi: 10.22075/ijnaa.2022.24699.2800

New theoretical conditions for solving functional nonlinear equations by linearization then discretization

International Journal of Nonlinear Analysis and Applications
مقاله 231، دوره 13، شماره 1، خرداد 2022، صفحه 2857-2869    اصل مقاله (410.67 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24699.2800
نویسندگان
Ammar Khellaf* 1؛ Mohamed Zine Aissaoui2
1Preparatory Class Department, National Polytechnic College of Constantine (Engineering College), Algeria
2Department of Mathematics, Faculty of Mathematics and Computer Science and Material Sciences, University 8 May 1945 of Guelma, Algeria
تاریخ دریافت: 06 مهر 1400،  تاریخ بازنگری: 11 مهر 1400،  تاریخ پذیرش: 13 دی 1400 
چکیده
In this paper, we propose to solve nonlinear functional equations given in an infinite-dimensional Banach space by linearizing first and then discretizing the linear iterative equations. We establish new sufficient conditions which provide new criteria for dealing with convergence results. These conditions define a class of discretization schemes. Some numerical examples confirm the theoretical results by treating an integro-differential equation.
کلیدواژه‌ها
Nonlinear equation؛ Iterative methods؛ Convergence؛ Newton-Kantorovich method
مراجع

[1] L. Grammant, M. Ahues and F.D. D’Almeida, For nonlinear infinite dimensional equations which to begin with: Linearization or discretization, J. Integral Equ. Appl. 26 (2014) 413–436.

[2] L. Grammant, Nonlinear integral equation of the second kind: A new version of Nystrom method, Numerical Funct. Anal. Optim. 34(5) (2013) 496–515.

[3] L. Grammant, P.B. Vasconcelos and M. Ahues, A modified iterated projection method adapted to a nonlinear integral equation, Appl. Math. Comput. 276 (2016) 432–441.

[4] A. Khellaf, W. Merchela and S. Benarab, New numerical process solving nonlinear infinite dimensional equations, Comput. Appl. Math. 93(1) (2020) 1–15.

[5] B.V. Limaye, Functional Analysis, Second Edition, New Age International, New Delhi, 1996.

[6] A. Khellaf, H. Guebbai, S. Lemita, M.Z. Aissaoui, Eigenvalues computation by the generalized spectrum method of Schro¨dinger’s operator, Comput. Appl. Math. 37 (2018) 5965–5980.

[7] M. Ahues, A. Largillier and B.V. Limaye Spectral Computations for Bounded Operators, Chapman and Hall/CRC, 2001.

آمار
تعداد مشاهده مقاله: 15,831
تعداد دریافت فایل اصل مقاله: 368


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب