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- W2237899768 abstract "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." @default.
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- W2237899768 date "2016-01-11" @default.
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- W2237899768 title "Legendre spectral method for solving mixed boundary value problems on rectangle" @default.
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- W2237899768 doi "https://doi.org/10.1002/mma.3827" @default.
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