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A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems

Abstract:

In solving semilinear initial boundary value problems with prescribed non-periodic boundary conditions using implicit–explicit and implicit time stepping schemes, both the function and derivatives of the function may need to be computed accurately at each time step. To determine the best Chebyshev collocation method to do this, the accuracy of the real space Chebyshev differentiation, spectral space preconditioned Chebyshev tau, real space Chebyshev integration and spectral space Chebyshev...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.cam.2009.12.029

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Funder
Publisher:
Elsevier
Journal:
Journal of Computational and Applied Mathematics More from this journal
Volume:
234
Issue:
2
Pages:
317-342
Publication date:
2010-05-01
DOI:
ISSN:
0377-0427
Language:
English
Keywords:
Subjects:
UUID:
uuid:07830f41-ea32-4351-8baa-219c727e1d8d
Local pid:
ora:8746
Deposit date:
2014-07-08

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