Abstract
We consider the problem of application of the collocation–iterative method to the solution of nonlinear integral equations. We construct an algorithm of the method and establish sufficient conditions for the convergence of the method.
Similar content being viewed by others
REFERENCES
N. S. Kurpel', Projection-Iterative Methods for Solving Operator Equations [in Russian], Naukova Dumka, Kiev (1968).
A. Yu. Luchka, Projection-Iterative Methods for Solving Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1980).
A. Yu. Luchka, Projection-Iterative Methods [in Russian], Naukova Dumka, Kiev (1993).
I. G. Petrovskii, Lectures on the Theory of Integral Equations [in Russian], Nauka, Moscow (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Poselyuzhna, V.B. On Sufficient Conditions for the Convergence of a Modified Collocation–Iterative Method for the Solution of Nonlinear Equations. Nonlinear Oscillations 5, 60–70 (2002). https://doi.org/10.1023/A:1014605011393
Issue Date:
DOI: https://doi.org/10.1023/A:1014605011393