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High-order numerical solution for a class of nonlinear Fredholm integro-differential equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 آبان 1403 اصل مقاله (1.41 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.58818.2489 | ||
| نویسندگان | ||
| Sadegh Amiri* ؛ Mohammad Eshaghnezhad | ||
| Department of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology P.O. Box: 13846-63113, Tehran, Iran. | ||
| چکیده | ||
| The main objective of this work is to provide a high-order numerical method to solve a class of integro-differential equations. By multiplying some efficient factors and constructing an appropriate approximate function, as well as utilizing a numerical integration method with order $\gamma$, the above-mentioned problem can be simplified to a non-linear system of algebraic equations. Furthermore, we discuss the convergence analysis of the presented method, in detail, and demonstrate that it converges with order $\mathcal{O}(h^{3.5})$ in $L^2$-norm. Some test examples are provided to demonstrate that the claimed order of convergence is obtained. | ||
| کلیدواژه‌ها | ||
| Efficient factors؛ Approximate function؛ Nonlinear algebraic system؛ Convergence analysis؛ Order of convergence | ||
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آمار تعداد مشاهده مقاله: 85 تعداد دریافت فایل اصل مقاله: 148 |
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