An Iterative Method for the Solution of Fredholm Integral Equations of the Second Kind

1 August 1976

journal article
Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics

Vol. 18 (1) , 57-65
https://doi.org/10.1093/imamat/18.1.57

Abstract

An iterative method for the solution of the linear Fredholm integral equation is discussed. Various types of quadrature rule are used to replace the integral and the order of convergence and error estimates are found for each rule. A few examples are considered, including one with a weakly singular kernel.

Keywords

ITERATIVE METHOD
INTEGRAL EQUATIONS
FREDHOLM INTEGRAL
SECOND KIND
SOLUTION

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