In this paper we apply Newton's method and its modified version to discrete equations obtained by applying a collocation method to a class of nonlinear integro-differential equations. We prove the convergence of these methods in some Sobolev type spaces.
Newton and modified Newton methods for a class of integro-differential equations
Capobianco MR;
2007
Abstract
In this paper we apply Newton's method and its modified version to discrete equations obtained by applying a collocation method to a class of nonlinear integro-differential equations. We prove the convergence of these methods in some Sobolev type spaces.File in questo prodotto:
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