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numerical solutions of abel integral equations via touchard and laguerre polynomials
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نویسنده
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abdullah jalil talab ,naseer bushra sweedan ,abdllrazak balasim taha
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:1599 -1609
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چکیده
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In this article, two numerical methods based on touchard and laguerre polynomials were presented to solve abel integral (ai) equations. touchard and laguerre matrices were utilized to transform abel integral equations into an algebraic system of linear equations. solve this system of these equations to obtain touchard and laguerre parameters. four examples are given to demonstrate the presented methods. the solutions were compared with the solutions in the literature.
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کلیدواژه
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abel integral equation ,numerical solution ,singular volterra ,touchard polynomials ,laguerre polynomials
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آدرس
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wasit university, college of administration and economics, iraq, middle technical university, institute of medical technology, iraq, al-mustansiriya university, college of engineering, iraq
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پست الکترونیکی
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balasimth@gmail.com
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Authors
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