Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets

	Numerical solution of system of nonlinear Fredholm integro-differential equations using CAS wavelets
Journal of Mathematical Modeling
مقاله 11، دوره 11، شماره 3، دی 2023، صفحه 587-602 اصل مقاله (363.68 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2023.24341.2179
نویسندگان
Mostafa Akrami Arani؛ Mehdi Sabzevari^*
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
چکیده
In this paper, we use the CAS wavelets as basis functions to numerically solve a system of nonlinear Fredholm integro-differential equations. To simplify the problem, we transform the system into a system of algebraic equations using the collocation method and operational matrices. We show the convergence of the presented method and then demonstrate its high accuracy with several illustrative examples. This approach is particularly effective for equations that admit periodic functions because the employed basis CAS functions are inherently periodic. Throughout our numerical examples, we observe that this method provides exact solutions for equations with trigonometric functions at a lower computational cost when compared to other methods.
کلیدواژه‌ها
Integro-differential equations؛ CAS wavelets؛ collocation method؛ operational matrices

آمار تعداد مشاهده مقاله: 200 تعداد دریافت فایل اصل مقاله: 318

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