Anzeige
Erschienen in:
2011 | OriginalPaper | Buchkapitel
The Weighted Generalized Solution Tikhonov Regularization Method for Cauchy Problem for the Modified Helmholtz Equation
verfasst von : Lei You
Erschienen in: Advances in Information Technology and Education
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In this paper, the Cauchy problem associated with the modified Helmholtz equation is discussed. The weighted generalized solution Tikhonov regularization method has been used to deal with the illposedness of the problem. Error estimates are obtained with a priori strategy and a posteriori choice rule to find the regularization parameter. We also show that the method can be realized by Fast Fourier Transform(FFT). Numerical examples show that the proposed method is effective and stable.