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Volume 10, Issue 3
Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems

J. Wu & Z. Wang

Int. J. Numer. Anal. Mod., 10 (2013), pp. 657-672.

Published online: 2013-10

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  • Abstract

In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems. Some basic results on the mixed Fourier-generalized Jacobi rational orthogonal approximations are established. Two model problems are considered. The convergence for the linear problem is proved. Numerical results demonstrate its spectral accuracy and efficiency.

  • Keywords

Mixed Fourier-generalized Jacobi rational orthogonal approximations, spectral method, exterior problems.

  • AMS Subject Headings

65M70, 41A20, 35K55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-657, author = {J. Wu and Z. Wang}, title = {Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {3}, pages = {657--672}, abstract = {

In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems. Some basic results on the mixed Fourier-generalized Jacobi rational orthogonal approximations are established. Two model problems are considered. The convergence for the linear problem is proved. Numerical results demonstrate its spectral accuracy and efficiency.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/588.html} }
TY - JOUR T1 - Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems AU - J. Wu & Z. Wang JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 657 EP - 672 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/588.html KW - Mixed Fourier-generalized Jacobi rational orthogonal approximations, spectral method, exterior problems. AB -

In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for two-dimensional exterior problems. Some basic results on the mixed Fourier-generalized Jacobi rational orthogonal approximations are established. Two model problems are considered. The convergence for the linear problem is proved. Numerical results demonstrate its spectral accuracy and efficiency.

J. Wu and Z. Wang. (2013). Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems. International Journal of Numerical Analysis and Modeling. 10 (3). 657-672. doi:
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