TITLE:
The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind
AUTHORS:
Igor Petrovich Dobrovolsky
KEYWORDS:
The Trapezoidal Rule, Continued Fraction, The Index of Richardson’s Extrapolation
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.11,
November
9,
2015
ABSTRACT: 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.