Abstract We introduce an orthogonal system on the whole line, induced by the generalized Jacobi functions. Some results on the generalized
Jacobi rational approximation are established, which play important roles in the related spectral methods. As examples of
applications, the rational spectral schemes are proposed for sine-Gordon, Klein-Gordon and Fisher equations, with the convergence
analysis. Numerical results demonstrate their efficiency.
Jacobi rational approximation are established, which play important roles in the related spectral methods. As examples of
applications, the rational spectral schemes are proposed for sine-Gordon, Klein-Gordon and Fisher equations, with the convergence
analysis. Numerical results demonstrate their efficiency.
- Content Type Journal Article
- DOI 10.1007/s10915-010-9353-6
- Authors
- Ben-Yu Guo, Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Division of Computational Science of E-institute of Shanghai Universities Department of Mathematics Shanghai 200234 China
- Yong-Gang Yi, Tianhua College Department of Basic Courses Shanghai 201805 China
- Journal Journal of Scientific Computing
- Online ISSN 1573-7691
- Print ISSN 0885-7474
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