عنوان
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A stable numerical scheme for a time fractional inverse parabolic equation
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Caputo fractional derivatives, time fractional inverse problem, finite differences, Tikhonov regularization method, discrepancy principle
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چکیده
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In this paper, we consider a time fractional inverse heat conduction problem of finding the temperature distribution and the heat flux on the boundaryx=0, when the time fractional derivative is interpreted in the sense of Caputo. We prove that this problem is an ill-posed problem. For finding a stable solution, the Tikhonov regularization technique is applied. A finite difference scheme is considered by using the given temperature at a pointx =x ∗ ,0
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پژوهشگران
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علیرضا محمدپور (نفر سوم)، علی تقوی (نفر اول)، افشین بابائی (نفر دوم)
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