Iterative solution of a class of nonlinear Fredholm integral equations

Authors

  • Juarez Azevedo
  • Adson Rocha
  • Saulo Oliveira

DOI:

https://doi.org/10.5540/03.2017.005.01.0307

Keywords:

Collocation method, Fixed-point iteration, Fredholm integral equation.

Abstract

We consider the numerical solution of functional integral equations, a particular class of nonlinear Fredholm integral equations, by the collocation method with piecewise linear basis functions. The nonlinear algebraic system arising from the spatial discretization is iteratively solved with a fixed-point algorithm.

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Published

2017-04-14

Issue

Vol. 5 No. 1 (2017): CNMAC (2016)

Section

Trabalhos Completos - Métodos Numéricos e Aplicações