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On the approximate solution of some Fredholm integral equations by Newton’s method. (English) Zbl 1055.65147

Authors’ summary: The aim of this paper is to apply Newton’s method to solve a kind of nonlinear integral equations of Fredholm type. The study follows two directions: firstly we give a theoretical result on existence and uniqueness of solution. Secondly we illustrate with an example the technique for constructing the functional sequence that approaches the solution.

MSC:

65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
65J15 Numerical solutions to equations with nonlinear operators
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