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Implementation of Sinc-Galerkin on Parabolic Inverse Problem With Unknown Boundary Condition
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نویسنده
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Biazar J. ,Houlari T.
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منبع
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International Journal Of Industrial Mathematics - 2015 - دوره : 7 - شماره : 4 - صفحه:313 -319
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چکیده
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The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. for solving these ill-posed inverse problems, galerkin method based on sinc basis functions for space and time will be used. to solve the system of linear equation, a noise is imposed and tikhonove regularization is applied. by using a sensor located at a point in the domain of $x$, say $x=a'$, and determining $u(a',t)$ a stable solution will be achived. an illustrative example is provided to show the ability and the efficiency of this numerical approach.
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کلیدواژه
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Ill-Posed Inverse Problems ,Sinc-Galerkin Method ,Tikhonov Regularization ,UNkown Boundary Condition
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آدرس
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University Of Guilan, ایران, University Of Guilan, ایران
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Authors
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