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Hermite pseudospectral method for nonlinear partial differential equations

Published online by Cambridge University Press:  15 April 2002

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 Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2000

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