عنوان
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Solving a Parabolic Inverse Source Problem by the Sinc-Galerkin Method
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Nonhomogeneous parabolic equation, inverse problem, unknown source term, Sinc-Galerkin method, Neumann boundary condition
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چکیده
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In this paper , the inverse problem of determining an unknown source term in a parabolic equation with Neumann boundary conditions and final measured data is considered . Initially , the unknown source term is estimated in the form of a combination of orthogonal functions . Since this inverse problem is illposed , the Tikhonov regularization technique is applied to find a stable solution . Then , a Sinc-Galerkin system is assembled to solve the direct problem . The approximate solution displays an exponential convergence rate . At the end of the paper , the proposed method is tested on 2 examples .
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پژوهشگران
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علیرضا محمدپور (نفر اول)، افشین بابائی (نفر دوم)
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