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solution of nonlinear volterrahammerstein integral equations using alternative legendre collocation method
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نویسنده
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bazm sohrab
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منبع
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sahand communications in mathematical analysis - 2016 - دوره : 4 - شماره : 1 - صفحه:57 -77
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چکیده
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Alternative legendre polynomials (alps) are used to approximate the solution of a class of nonlinear volterrahammerstein integral equations. for this purpose, the operational matrices of integration and the product for alps are derived. then, using the collocation method, the considered problem is reduced into a set of nonlinear algebraic equations. the error analysis of the method is given and the efficiency and accuracy are illustrated by applying the method to some examples.
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کلیدواژه
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nonlinear volterrahammerstein integral equations ,alternative legendre polynomials ,operational matrix ,collocation method
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آدرس
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university of maragheh, faculty of science, department of mathematics, ایران
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پست الکترونیکی
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sbazm@maragheh.ac.ir
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Authors
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