Title of article
Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary condition
Author/Authors
Biazar، J. نويسنده Mathematical Assistant with the Oil and Gas Research Group at Dalhousie University, Canada, during the summer, and is currently Professor of Applied M , , Houlari، T. نويسنده Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-1914, Guilan, Rasht, Iran. ,
Issue Information
فصلنامه با شماره پیاپی 0 سال 2015
Pages
7
From page
313
To page
319
Abstract
در اين مقاله، تعيين شرط مرزي مجهول در يك مسالهي نفوذ معكوس غيرخطي مورد بررسي قرار ميگيرد. براي حل اين مسالهي بد-وضع، روش گالركين با استفاده از توابع پايهاي سينك، به كار گرفته ميشود. براي حل دستگاه معادلات خطي، اختلالي تحميل و روش منظم سازي تيخونوف به كار رفته است. با قرار دادن سنسور در يك نقطه از دامنه x، مانند x=a و تعيين u(a^ʹ,t)، يك جواب پايدار حاصل خواهد شد. يك مثال روشنگر براي نشان دادن توانايي و كارايي اين روش عددي ارايه شده است.
Abstract
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 $x=aʹ$, and determining $u(aʹ,t)$ a stable solution will be achived. An illustrative example is provided to show the ability and the efficiency of this numerical approach.
Journal title
International Journal of Industrial Mathematics(IJIM)
Serial Year
2015
Journal title
International Journal of Industrial Mathematics(IJIM)
Record number
2357240
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