Generalized Jacobi rational spectral method on the half line

Authors:
Yong-Gang Yi;Ben-Yu Guo
Affiliations:
Shanghai Normal University Tianhua College, Shanghai, China 201815;Department of Mathematics, Shanghai Normal University, Shanghai, China 200234 and Scientific Computing Key Laboratory, Shanghai University, Shanghai, China and Division of Computational Science of ...
Venue:
Advances in Computational Mathematics
Year:
2012

Citing 6
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Abstract

We introduce an orthogonal system on the half line, induced by generalized Jacobi functions. Some basic results on the generalized Jacobi rational approximation are established, which play important roles in the related spectral method. As an example of applications, the rational spectral method is proposed for partial differential equations of degenerate type. Its convergence is proved. Numerical results demonstrate its efficiency.