Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary condition
نویسندگان
چکیده مقاله:
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.
منابع مشابه
implementation of sinc-galerkin on parabolic inverse problem with unknown boundary condition
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 $...
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عنوان ژورنال
دوره 7 شماره 4
صفحات 313- 319
تاریخ انتشار 2015-10-01
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