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

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 33

فایل این مقاله در 16 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_JMMO-11-3_011

تاریخ نمایه سازی: 19 خرداد 1403

چکیده مقاله:

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.

نویسندگان

Mostafa Akrami Arani

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

Mehdi Sabzevari

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran