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 | ||
| 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 | ||
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