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مقالات فارسیISIکنفرانسهاژورنالها

The Fibonacci polynomials solution for Abel’s integral equation of second kind

محل انتشار: مجله ایرانی آنالیز عددی و بهینه سازی، دوره: 10، شماره: 1
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 167

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لینک ثابت به این مقاله:
https://civilica.com/doc/1170440

شناسه ملی سند علمی:

JR_IJNAO-10-1_005

تاریخ نمایه سازی: 17 فروردین 1400

چکیده مقاله:

We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel’s integral equation of second kind. Initially, the solution is supposed in the form of the Fibonacci polynomials truncated series with the unknown coefficients. Then, by placing this series into the main problem and collocating the resulting equation at some points, a system of algebraic equations is obtained. After solving it, the unknown coefficients and so the solution of main problem are determined. The error analysis is discussed elaborately. Also, the reliability of the method is quantified through numerical examples.

کلیدواژه ها:

Abel’s integral equation ، Fibonacci polynomials ، Collocation points ، error analysis

نویسندگان

Haman Deilami Azodi

Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

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