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Solving nonlinear integral equations in the Hammerstein form by Newton-Kantorovich-quadrature method

A. Jafaria, Z. Esmailzadeh


In some application mathematical problems finding an explicit solution is difficult,therefore it is convenient to employ numerical methods. In this article, we present Newton-Kantorovich method for solving one of the most important cases
in nonlinear integral equations which is called Hammerstein. For this scope, we develop a new Presented method solves this equations in a systematic procedure. The proposed method is discussed in details and illustrated by solving some numerical


Nonlinear integral equation, Newton-Kantorovich-Quadrature method, Hammerstein integral equation, Approximate solution.

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