%0 Journal Article
%T The Estimation of the Error at Richardson¡¯s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind
%A Igor Petrovich Dobrovolsky
%J Open Access Library Journal
%V 2
%N 11
%P 1-7
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1102051
%X The mode of definition of the error at polynomial Richardson¡¯s
extrapolation is described. Along with the table of extrapolations the new
magnitudes reflecting expediency and efficiency of extrapolation are entered. On
concrete examples it is shown that application of Richardson¡¯s extrapolation to
a solution of integral equations has appeared rather effective and gives a
solution with a high exactitude. Application of formulas of interpolation leads
to a solution in the analytical aspect.
%K The Trapezoidal Rule
%K Continued Fraction
%K The Index of Richardson¡¯s Extrapolation
%U http://www.oalib.com/paper/3151652