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A Study of A Stefan Problem Governed With Space–Time Fractional Derivatives
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نویسنده
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Rajeev M.S. ,Kushwaha A.K. Singh
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منبع
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Journal Of Heat And Mass Transfer Research - 2016 - دوره : 3 - شماره : 2 - صفحه:145 -151
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چکیده
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This paper presents a fractional mathematical model of a one-dimensional phasechange problem (stefan problem) with a variable latent-heat (a power function of position). this model includes space–time fractional derivatives in the caputo sense and time-dependent surface-heat flux. an approximate solution of this model is obtained by using the optimal homotopy asymptotic method to find the solutions of temperature distribution in the domain 0 ≤ x ≤ s(t) and interface’s tracking or location. the results thus obtained are compared with existing exact solutions for the case of the integer order derivative at some particular values of the governing parameters. the dependency of movement of the interface on certain parameters is also studied.
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کلیدواژه
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Optimal Homotopy Asymptotic Method ,Stefan Problem ,Moving Interface ,Fractional Derivatives
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آدرس
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Banaras Hindu University, Indian Institute Of Technology, Department Of Mathematical Sciences, India, Banaras Hindu University, Indian Institute Of Technology, Department Of Mathematical Sciences, India
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Authors
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