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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.

  • AMS Subject Headings

65M70, 41A20, 35K55

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-657, author = {}, 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 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 & Z. Wang. (1970). 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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