Year: 2011
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 284–296
Abstract
In this paper, we propose a mixed Fourier-Jacobi spectral method for two dimensional Neumann boundary value problem. This method differs from the classical spectral method. The homogeneous Neumann boundary condition is satisfied exactly. Moreover, a tridiagonal matrix is employed, instead of the full stiffness matrix encountered in the classical variational formulation. For analyzing the numerical error, we establish the mixed Fourier-Jacobi orthogonal approximation. The convergence of proposed scheme is proved. Numerical results demonstrate the efficiency of this approach.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.281010.200411a
East Asian Journal on Applied Mathematics, Vol. 1 (2011), Iss. 3 : pp. 284–296
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Mixed Fourier-Jacobi orthogonal approximation spectral method Neumann boundary value problem.
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