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Hermite pseudospectral method for nonlinear partial differential equations

Published online by Cambridge University Press:  15 April 2002

Ben-yu Guo  and
Cheng-long Xu
Ben-yu Guo
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai 200234, P.R. China. (byguo@guomai.sh.cn)
Cheng-long Xu
Affiliation:
Department of Mathematics, Shanghai University, Shanghai 201800, P.R. China.
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Abstract

Hermite polynomial interpolation is investigated.Some approximation results are obtained. As an example, the Burgersequation on the whole line is considered. The stability and theconvergence of proposed Hermite pseudospectral scheme are provedstrictly. Numerical results are presented.

Keywords

Hermite pseudospectral approximationnonlinear partial differential equations.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 4 , July 2000 , pp. 859 - 872
Copyright
© EDP Sciences, SMAI, 2000

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