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Generalized Jacobi rational spectral method on the half line.
- Source :
-
Advances in Computational Mathematics . Jul2012, Vol. 37 Issue 1, p1-37. 37p. - Publication Year :
- 2012
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10197168
- Volume :
- 37
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Computational Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 76351144
- Full Text :
- https://doi.org/10.1007/s10444-011-9193-4