High-order numerical solution for a class of nonlinear Fredholm integro-differential equations

	High-order numerical solution for a class of nonlinear Fredholm integro-differential equations
Computational Methods for Differential Equations
مقاله 24، دوره 13، شماره 3، مهر 2025، صفحه 1059-1073 اصل مقاله (679.18 K)
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 present a high-order numerical method to solve a class of nonlinear Fredholm integro-differential equations. By multiplying appropriate efficient factors and constructing an appropriate approximate function, as well as employing a numerical integration method of order $\gamma$, the above-mentioned problem can be simplified to a nonlinear system of algebraic equations. Furthermore, we discuss the convergence analysis of the presented method in detail and demonstrate that it converges with an order $\mathcal{O}(h^{3.5})$ in the $L^2$-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

آمار تعداد مشاهده مقاله: 150 تعداد دریافت فایل اصل مقاله: 271

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