Um Método Unidimensional de Fourier-Gegenbauer para a Resolução da Equação de Helmholtz
DOI:
https://doi.org/10.5540/tema.2004.05.02.0295Abstract
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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