Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions

AUTOR(ES)

Cheng-Long, Xu, Ben-Yu, Guo

FONTE

Computational & Applied Mathematics

DATA DE PUBLICAÇÃO

2003

RESUMO

Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach.

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