Laguerre Spectral Method for High Order Problems

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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.
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DOI

10.4208/nmtma.2013.y11039