Numerical Analysis of the Chebyshev Collocation Method for Functional Volterra Integral Equations

ABSTRACT The collocation method based on Chebyshev basis functions, coupled Picard iterative process, is proposed to solve a functional Volterra integral equation of the second kind. Using the Banach Fixed Point Theorem, we prove theorems on the existence and uniqueness solutions in the L 2-norm. We...

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Detalhes bibliográficos
Autor principal: AZEVEDO,J. S. (author)
Outros Autores: AFONSO,S. M. (author), DA SILVA,M. P. G. (author)
Formato: article
Idioma:eng
Publicado em: 2020
Assuntos:
Texto completo:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512020000300521
País:Brasil
Oai:oai:scielo:S2179-84512020000300521