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A compact discretization of the boundary value problems of the nonlinear Fredholm integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 12، شماره 2، مهر 2024، صفحه 233-246 اصل مقاله (230.02 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.24380.2184 | ||
| نویسندگان | ||
| Sadegh Amiri* 1؛ Mojtaba Hajipour2 | ||
| 1Department of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, P.O. Box: 13846-63113, Tehran, Iran | ||
| 2Department of Mathematics, Sahand University of Technology, P.O. Box: 51335-1996, Tabriz, Iran | ||
| چکیده | ||
| In this paper, we propose a fourth-order compact discretization method for solving a second-order boundary value problem governed by the nonlinear Fredholm integro-differential equations. Using an efficient approximate polynomial, a compact numerical integration method is first designed. Then by applying the derived numerical integration formulas, the original problem is converted into a nonlinear system of algebraic equations. It is shown that the proposed method is easy to implement and has the third order of accuracy in the infinity norm. Some numerical examples are presented to demonstrate its approximation accuracy and computational efficiency, as well as to compare the derived results with those obtained in the literature. | ||
| کلیدواژهها | ||
| Fredholm integro-differential equation؛ compact discretization method؛ boundary value problem؛ fourth order of accuracy؛ convergence order | ||
| مراجع | ||
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