Mathematical methods in the applied sciences, 2016-09, Vol.39 (13), p.3824-3835
2016
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Details
- Autor(en) / Beteiligte
- Titel
- Legendre spectral method for solving mixed boundary value problems on rectangle
- Ist Teil von
- Mathematical methods in the applied sciences, 2016-09, Vol.39 (13), p.3824-3835
- Ort / Verlag
- Freiburg: Blackwell Publishing Ltd
- Erscheinungsjahr
- 2016
- Quelle
- Wiley-Blackwell Journals
- Beschreibungen/Notizen
- In this paper, we develop a spectral method for mixed inhomogeneous Dirichlet/Neumann/Robin boundary value problems defined on rectangle. Some results on two‐dimensional Legendre approximation in Jacobi‐weighted Sobolev space are established. As examples of applications, spectral schemes are provided for two model problems with mixed inhomogeneous boundary conditions. The spectral accuracy in space of proposed algorithms are proved. Efficient implementations are presented. Numerical results demonstrate their high accuracy and confirm the theoretical analysis well. Copyright © 2016 John Wiley & Sons, Ltd.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0170-4214eISSN: 1099-1476DOI: 10.1002/mma.3827Titel-ID: cdi_proquest_miscellaneous_1835606278
- Format
- –
- Schlagworte
- 35J25, 41A10, Accuracy, Boundary value problems, Dirichlet problem, lifting technique, Mathematical analysis, Mathematical models, Rectangles, second-order elliptic equations, Sobolev space, Spectra, spectral method for mixed inhomogeneous Dirichlet/Neumann/Robin boundary value problems, Spectral methods, subclass 65N35, two-dimensional Legendre approximation in Jacobi weighted Sobolev space