Superconvergence of a Collocation-Type Method for Simple Turning Points of Hammerstein Equations
نویسندگان
چکیده
منابع مشابه
Superconvergence of a Collocation-Type Method for Simple Turning Points of Hammerstein Equations
In this paper a simple turning point (y = yc, A = Ac) of the parameterdependent Hammerstein equation y(t) = f(t) + X k(t,s)g(s,y(s))ds, te[a,b], is approximated numerically in the following way. A simple turning point (z = zc, X = Xe) of an equivalent equation for z(t) := Xg(t, y(t)) is computed first. This is done by solving a discretized version of a certain system of equations which has (2e,...
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In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation xh, we get a higher order approximation I 2r−1 2h xh, whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iter...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1988
ISSN: 0025-5718
DOI: 10.2307/2008614