The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind - Open Access Library Journal

OALibJ > Vol.2 No.11, November 2015

Volume 2, Issue 11 (November 2015)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind ()

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DOI: 10.4236/oalib.1102051 2,325 Downloads 3,436 Views Citations

Author(s)

Igor Petrovich Dobrovolsky

Affiliation(s)

Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia.

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.

KEYWORDS

The Trapezoidal Rule, Continued Fraction, The Index of Richardson’s Extrapolation

Share and Cite:

Dobrovolsky, I. (2015) The Estimation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind. Open Access Library Journal, 2, 1-7. doi: 10.4236/oalib.1102051.

Cited by

[1]	Quasiquadrature Solution of the Linear Integral Equations of the Second Kind in the Class of Integrable Functions
	2020

[2]	Quasi-Quadrature Solution of Integral Equations Fredholm of the Second Kind in the Class of Integrable Functions
	2019

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