عنوان
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Numerical solution of nonlinear integral equations using alternative Legendre polynomials
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Volterra–Fredholm–Hammerstein integral equations, Alternative Legendre polynomials, Collocation method, Operational matrices
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چکیده
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In this paper, the operational matrices of integration and the product for the alternative Legendre polynomials (ALPs) are first derived. Then, using these operational matrices and the collocation method, the nonlinear Volterra–Fredholm–Hammerstein integral equations are reduced to a set of nonlinear algebraic equations with unknown ALP coefficients. Some error estimations are provided and the efficiency and accuracy is verified by applying the method to some examples chosen from other literature
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پژوهشگران
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علیرضا حسینی (نفر دوم)، سهراب بزم (نفر اول)
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