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Solving An Inverse Problem For A Parabolic Equation With A Nonlocal Boundary Condition in the Reproducing Kernel Space
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نویسنده
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Mohammad Maryam ,Mokhtari Reza ,Toutian Isfahani Freshteh
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منبع
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Iranian Journal Of Numerical Analysis And Optimization - 2014 - دوره : 4 - شماره : 1 - صفحه:57 -76
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چکیده
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On the basis of a reproducing kernel space, an iterative algorithm for solving the inverse problem for heat equation with a nonlocal boundary condition is presented. the analytical solution in the reproducing kernel space is shown in a series form and the approximate solution vn is constructed by truncating the series to n terms.the convergence of vn to the analytical solution is also proved. results obtained by the proposed method imply that it can be considered as a simple and accurate method for solving such inverse problems.
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کلیدواژه
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Inverse Problem ,Parabolic Equation ,Nonlocal Boundary Conditions ,Reproducing Kernel Space
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آدرس
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Isfahan University Of Technology, هیات علمی, ایران, Isfahan University Of Technology, هیات علمی, ایران, Isfahan University Of Technology, هیات علمی, ایران
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پست الکترونیکی
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f.toutianesfahani@math.iut.ac.ir
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Authors
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