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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Bibliographic Details
Main Author: AZEVEDO,J. S. (author)
Other Authors: AFONSO,S. M. (author), DA SILVA,M. P. G. (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512020000300521
Country:Brazil
Oai:oai:scielo:S2179-84512020000300521