کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4638311 | 1632001 | 2015 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the connection and equivalence of two methods for solving an ill-posed inverse problem based on FRAP data
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Two methods for solving an ill-posed inverse problem based on Fickian diffusion equation and spatio-temporal data from FRAP measurements are presented. The most usual method is the Tikhonov regularization. Nevertheless, in our specific problem we have detected difficulties residing in determination of the optimal regularization parameter αα. Hence, an equivalent method based on least squares with a quadratic constraint regularization is proposed. This latter approach naturally takes into account the noise level in the data and corresponds to Morozov’s discrepancy principle as well. The equivalence of both methods is rigorously proven and on a simple numerical example with synthetic input data practically documented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 290, 15 December 2015, Pages 598–608
Journal: Journal of Computational and Applied Mathematics - Volume 290, 15 December 2015, Pages 598–608
نویسندگان
C. Matonoha, Š. Papáček,