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Volume 6, Issue 3
Laguerre Spectral Method for High Order Problems

Chao Zhang, Ben-Yu Guo & Tao Sun

DOI: 10.4208/nmtma.2013.y11039

Numer. Math. Theor. Meth. Appl., 6 (2013), pp. 520-537.

Published online: 2013-06

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  • Abstract

In this paper, we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions. It is also available for approximated solutions growing fast at infinity. The spectral accuracy is proved. Numerical results demonstrate its high effectiveness.

  • Keywords

Laguerre spectral method, high order problems with mixed inhomogeneous boundary conditions.

  • AMS Subject Headings

65L60, 65M70

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-6-520, author = {Chao Zhang, Ben-Yu Guo and Tao Sun}, title = {Laguerre Spectral Method for High Order Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2013}, volume = {6}, number = {3}, pages = {520--537}, abstract = {

In this paper, we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions. It is also available for approximated solutions growing fast at infinity. The spectral accuracy is proved. Numerical results demonstrate its high effectiveness.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2013.y11039}, url = {http://global-sci.org/intro/article_detail/nmtma/5916.html} }
TY - JOUR T1 - Laguerre Spectral Method for High Order Problems AU - Chao Zhang, Ben-Yu Guo & Tao Sun JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 520 EP - 537 PY - 2013 DA - 2013/06 SN - 6 DO - http://doi.org/10.4208/nmtma.2013.y11039 UR - https://global-sci.org/intro/article_detail/nmtma/5916.html KW - Laguerre spectral method, high order problems with mixed inhomogeneous boundary conditions. AB -

In this paper, we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions. It is also available for approximated solutions growing fast at infinity. The spectral accuracy is proved. Numerical results demonstrate its high effectiveness.

Chao Zhang, Ben-Yu Guo and Tao Sun. (2013). Laguerre Spectral Method for High Order Problems. Numerical Mathematics: Theory, Methods and Applications. 6 (3). 520-537. doi:10.4208/nmtma.2013.y11039
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