A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems
Article
Article Title | A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems |
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ERA Journal ID | 228 |
Article Category | Article |
Authors | Mai-Duy, Nam (Author) and Tanner, Roger I. (Author) |
Journal Title | Journal of Computational and Applied Mathematics |
Journal Citation | 201 (1), pp. 30-47 |
Number of Pages | 18 |
Year | 2007 |
Publisher | Elsevier |
Place of Publication | Amsterdam, Netherlands |
ISSN | 0377-0427 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.cam.2006.01.030 |
Web Address (URL) | http://www.sciencedirect.com/science/journal/03770427 |
Abstract | This paper reports a new spectral collocation method for numerically solving two-dimensional biharmonic boundary-value problems. The construction of the Chebyshev approximations is based on integration rather than conventional differentiation. This use of integration allows: (i) the imposition of the governing equation |
Keywords | spectral collocation methods; biharmonic problems; multiple boundary conditions; integrated Chebyshev polynomials |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490406. Lie groups, harmonic and Fourier analysis | |
490109. Theoretical and applied mechanics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Department of Mechanical and Mechatronic Engineering |
University of Sydney |
https://research.usq.edu.au/item/9y800/a-spectral-collocation-method-based-on-integrated-chebyshev-polynomials-for-two-dimensional-biharmonic-boundary-value-problems
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