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

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Detalhes bibliográficos
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.
Autores principais:Cheng-Long,Xu
Outros Autores:Ben-Yu,Guo
Assunto:Hermite approximation nonlinear partial differential equations multiple dimensions
Ano:2003
País:Brasil
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:IBICT
Idioma:inglês
Origem:Oasisbr
Descrição
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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