Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642505 | Journal of Computational and Applied Mathematics | 2007 | 18 Pages |
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 at the whole set of grid points including the boundary points and (ii) the straightforward implementation of multiple boundary conditions. The performance of the proposed method is investigated by considering several biharmonic problems of first and second kinds; more accurate results and higher convergence rates are achieved than with conventional differential methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
N. Mai-Duy, R.I. Tanner,