عنوان
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A mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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heat conduction equation, Caputo's derivative, ill-posedness, mollification, finite difference
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چکیده
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We consider an inverse problem of time fractional heat conduction problem. It is shown that the problem is ill-posed. A method is investigated based on the finite difference to find heat distribution and boundary values. The discrete mollification regularisation is applied to obtain a stable numerical solution. Finally, some test problems are investigated to show the ability of the proposed scheme.
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پژوهشگران
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صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)
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