Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems

Mixed Fourier-Generalized Jacobi Rational Spectral Method for Two-Dimensional Exterior Problems

Year:    2013

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-588

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 657–672

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

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