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Numerical approach for reconstructing an unknown source function in inverse parabolic problem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 43، دوره 12، شماره 1، مرداد 2021، صفحه 555-565 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4838 | ||
| نویسندگان | ||
| Javad Damirchi* 1؛ Ali Janmohammadi2؛ Masoud Hasanpour2؛ Reza Memarbashi2 | ||
| 1Department of Mathematics, Semnan University, Semnan, Iran | ||
| 2Department of Mathematics, Semnan University, Semnan, Iran. | ||
| تاریخ دریافت: 11 اردیبهشت 1397، تاریخ بازنگری: 23 خرداد 1397، تاریخ پذیرش: 27 فروردین 1398 | ||
| چکیده | ||
| The inverse problem considered in this paper is devoted to reconstruction of the unknown source term in parabolic equation from additional information which is given by measurements at final time. The cost functional is introduced and existence of the minimizer for this functional is established. The numerical algorithm to solve the inverse problem is based on the Ritz-Galerkin method with shifted Legendre polynomials as basis functions. Finally, some numerical results are presented to demonstrate the accuracy and efficiency of the proposed method for test example. | ||
| کلیدواژه‌ها | ||
| Inverse source Problem؛ Cost Functional؛ Ill-Posed Problem؛ Regularization Method؛ Ritz-Galerkin Method | ||
| مراجع | ||
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