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

Authors

  • J.C. Oliveira
  • J. Eying

DOI:

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

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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Published

2004-06-01

How to Cite

Oliveira, J., & Eying, J. (2004). Um Método Unidimensional de Fourier-Gegenbauer para a Resolução da Equação de Helmholtz. Trends in Computational and Applied Mathematics, 5(2), 295–306. https://doi.org/10.5540/tema.2004.05.02.0295

Issue

Vol. 5 No. 2 (2004)

Section

Original Article

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