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Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
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نویسنده
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Gachpazan Morteza ,Erfanian Majid ,Beiglo Hosien
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منبع
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iranian journal of numerical analysis and optimization - 2014 - دوره : 4 - شماره : 2 - صفحه:73 -83
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چکیده
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in this paper, we construct a new iterative method for solving nonlinear volterra integral equation of second kind, by approximating the legendre polynomial basis. error analysis is worked using banach fixed point theorem. we compute the approximate solution without using numerical method. finally, some examples are given to compare the results with some of the existing methods.
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کلیدواژه
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Nonlinear Volterra integral equation ,Legendre polynomial ,error analysis ,fixed point.
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آدرس
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ferdowsi university of mashhad, Ferdowsi University of Mashhad, ایران, ferdowsi university of mashhad, Ferdowsi University of Mashhad, ایران, ferdowsi university of mashhad, Ferdowsi University of Mashhad, ایران
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پست الکترونیکی
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h.beiglo@gmail.com
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Authors
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