Newton-Product Integration for a Stefan Problem with Kinetics
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نویسنده
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Babayar-Razlighi B. ,Ivaz K. ,Mokhtarzadeh M.R.
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منبع
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journal of sciences islamic republic of iran - 2011 - دوره : 22 - شماره : 1 - صفحه:51 -61
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چکیده
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Stefan problem with kinetics is reduced to a system of nonlinear volterra integral equations of second kind and newton's method is applied to linearize it. product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. an example is provided to illustrated the applicability of the method.
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کلیدواژه
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Stefan problem; Kinetic function; Newton's method; Product integration; Weakly singular Volterra integral equations
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آدرس
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university of tabriz, Department of Mathematics, ایران, university of tabriz, Department of Mathematics, ایران, Institute for Studies in Theoretical Physics and Mathematics, ایران
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پست الکترونیکی
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ivaz@tabrizu.ac.ir
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