Um Método Unidimensional de Fourier-Gegenbauer para a Resolução da Equação de Helmholtz

J.C. Oliveira, J. Eying

Abstract


Gottlieb e co-autores propuseram, em [6], um novo método que elimina completamente o fenômeno de Gibbs de expansões em série de Fourier de funções descontínuas, analíticas por partes. O método emprega os coeficientes de Fourier para obter os coeficientes de uma expansão em polinômios de Gegenbauer que representa com acurácia espectral a função dada. Neste trabalho, propomos um método de Fourier-Gegenbauer de resolução numérica de elevada precisão para as equações de Helmholtz unidimensionais. O estudo numérico de casos-teste e compara ções com métodos alternativos propostos na literatura evidencia as vantagens da técnica proposta.

References


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DOI: https://doi.org/10.5540/tema.2004.05.02.0295

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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