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An a posteriori wavelet method for solving two kinds of ill-posed problems.
- Source :
- International Journal of Computer Mathematics; Sep2018, Vol. 95 Issue 9, p1893-1909, 17p
- Publication Year :
- 2018
-
Abstract
- The wavelet method based on the Meyer wavelet function and scaling function is a rather effective regularization method for solving some illposed problems. Recently, there are many works on this method limited to the a priori choice rule. The typical paper [H. Cheng and C.L. Fu, Wavelets and numerical pseudodifferential operator, Appl. Math. Model. 40 (2016), pp. 1776-1787] has systematically considered the a priori choice rule in the framework of the pseudodifferential operator (ψDO). In this paper, we will systematically consider the a posteriori choice rule for two kinds of ill-posed problems in the framework of the ψDO, and construct the convergence error estimates between the exact solution and its regularized approximation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 95
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 131029171
- Full Text :
- https://doi.org/10.1080/00207160.2017.1343944