Legendre spectral collocation method for the solution of the model describing biological species living together

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15 صفحه اول

A Legendre spectral collocation method for the biharmonic Dirichlet problem

A Legendre spectral collocation method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which are linear combinations of Legendre polynomials. A Schur complement approach is used to reduce the resulting linear system to one involving the approximation of the Laplacia...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2016

ISSN: 0377-0427

DOI: 10.1016/j.cam.2015.09.011