Two-Step Newton-Tikhonov Method for Hammerstein-Type Equations: Finite-Dimensional Realization
نویسندگان
چکیده
منابع مشابه
Existence of an $L^p$-solution for two dimensional integral equations of the Hammerstein type
In this paper, existence of an $L^p$-solution for 2DIEs (Two Dimensional Integral Equations) of the Hammerstein type is discussed. The main tools in this discussion are Schaefer's and Schauder's fixed point theorems with a general version of Gronwall's inequality.
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Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations whi...
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We consider Hammerstein equations of the form y(i)=f(t)+(hk(t,s)g(s,y(s))ds, te[a,b], J a and present a new method for solving them numerically. The method is a collocation method applied not to the equation in its original form, but rather to an equivalent equation for z(t):= g(t,y(t)). The desired approximation to y is then obtained by use of the (exact) equation y(t)=f(t) + fh k(t,s)z(s)ds, ...
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ژورنال
عنوان ژورنال: ISRN Applied Mathematics
سال: 2012
ISSN: 2090-5572
DOI: 10.5402/2012/783579