منابع مشابه
DSM for general nonlinear equations
If F : H → H is a map in a Hilbert space H, F ∈ C2 loc, and there exists a solution y, possibly non-unique, such that F (y) = 0, F ′(y) 6= 0, then equation F (u) = 0 can be solved by a DSM (Dynamical Systems Method) and the rate of convergence of the DSM is given provided that a source-type assumption holds. A discrete version of the DSM yields also a convergent iterative method for finding y. ...
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If F : H → H is a map in a Hilbert space H , F ∈ C2 loc, and there exists y such that F(y) = 0, F (y) 6= 0, then equation F(u) = 0 can be solved by a DSM (dynamical systems method). This method yields also a convergent iterative method for finding y, and this method converges at the rate of a geometric series. It is not assumed that y is the only solution to F(u) = 0. A stable approximation to ...
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SPLINE COLLOCATION FOR NONLINEAR FREDHOLM INTEGRAL EQUATIONS
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2012
ISSN: 0893-9659
DOI: 10.1016/j.aml.2012.06.006