On Sufficient Conditions for the Convergence of a Modified Collocation–Iterative Method for the Solution of Nonlinear Equations
Tóm tắt
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.
Tài liệu tham khảo
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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).