the fibonacci polynomials solution for abel’s integral equation of second kind
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نویسنده
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deilami azodi h.
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منبع
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iranian journal of numerical analysis and optimization - 2020 - دوره : 10 - شماره : 1 - صفحه:63 -79
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چکیده
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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.
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کلیدواژه
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abel’s integral equation;، fibonacci polynomials;، collocation points; error analysis
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آدرس
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university of guilan, faculty of mathematical sciences, iran
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پست الکترونیکی
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haman.d.azodi@gmail.com; haman-azodi@webmail.guilan.ac.ir
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