عنوان
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A non-iterative domain decomposition method for the forward-backward heat equation
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Forward-backward heat equation, Non-overlapping domain decomposition, Finite difference, Non-iterative method
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چکیده
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A non-overlapping domain decomposition technique applied to the finite difference method is presented for the numerical solution of the forward-backward heat equation in the case of one-dimension. While the previous attempts to deal with this problem have been based on an iterative domain decomposition scheme, the current work avoid iterations. Also a physical matching condition is suggested to avoid difficulties caused by the interface boundary nodes and obtain a square system of equations. In addition, the convergence and stability of the proposed method is investigated. Some numerical experiments are given to show the effectiveness of the proposed method.
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پژوهشگران
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سیامک بانه (نفر اول)، کمال شانظری (نفر دوم)
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