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A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations
- Source :
- Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-11 (2016)
- Publication Year :
- 2016
- Publisher :
- SpringerOpen, 2016.
-
Abstract
- Abstract In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed. By employing the orthogonal spherical polynomials approximation and the spectral theory of compact operator, the error estimates of approximate eigenvalues and eigenfunctions are provided. By adopting orthogonal spherical base functions, the discrete model with sparse mass and stiff matrices is established so that it is very efficient for finding the numerical solutions of biharmonic eigenvalue equations on the spherical domain. Some numerical examples are provided to validate the theoretical results.
Details
- Language :
- English
- ISSN :
- 1029242X
- Volume :
- 2016
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.23dcb6e4870643cc9087f15038ffdad2
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13660-016-1014-3