A Wavelet Method for the Cauchy Problem for the Helmholtz Equation
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-04
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We consider a Cauchy problem for the Helmholtz equation at a fixed frequency.
The problem is severely ill posed in the sense that the solution (if it exists) does not depend continuously on the data.
We present a wavelet method to stabilize the problem.
Some error estimates between the exact solution and its approximation are given, and numerical tests verify the efficiency and accuracy of the proposed method.
American Psychological Association (APA)
Dou, Fang-Fang& Fu, Chu-Li. 2012. A Wavelet Method for the Cauchy Problem for the Helmholtz Equation. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-472030
Modern Language Association (MLA)
Dou, Fang-Fang& Fu, Chu-Li. A Wavelet Method for the Cauchy Problem for the Helmholtz Equation. ISRN Applied Mathematics No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-472030
American Medical Association (AMA)
Dou, Fang-Fang& Fu, Chu-Li. A Wavelet Method for the Cauchy Problem for the Helmholtz Equation. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-472030
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472030