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Laguerre Spectral Method for High Order Problems

Published online by Cambridge University Press:  28 May 2015

Chao Zhang ,
Ben-Yu Guo  and
Tao Sun
Chao Zhang*
Affiliation:
Department of Mathematics, Jiangsu Normal University, Xuzhou, 221116, Jiangsu, China
Ben-Yu Guo*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China; & Scientific Computing Key Laboratory of Shanghai Universities; &Division of Computational Science of E-institute of Shanghai Universities
Tao Sun*
Affiliation:
Department of Applied Mathematics, Shanghai Finance University, Shanghai, 201209, China
*
Corresponding author.Email address:zcxzl977@163.com
Corresponding author.Email address:byguo@shnu.edu.en
Corresponding author.Email address:taosun80@yeah.net
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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

65L6065M70Laguerre spectral methodhigh order problems with mixed inhomogeneous boundary conditions
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 6 , Issue 3 , August 2013 , pp. 520 - 537
Copyright
Copyright © Global Science Press Limited 2013

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