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Quasiquadrature Solution of the Linear Integral Equations of the Second Kind in the Class of Integrable Functions

DOI: 10.4236/oalib.1106069, PP. 1-6

Subject Areas: Integral Equation

Keywords: Integral Average Value

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Abstract

The analog of the quadrature solution of the equation of the second kind is considered. Fundamental difference from classical quadrature formulas is as follows. On segments of the chosen grid not values of functions, but their integral average values are used. Equations of Fredholm and Volterra are considered. The graphical representation of the solution is discussed. Computing examples show expediency of such approach in appropriate cases.

Cite this paper

Dobrovolsky, I. P. (2020). Quasiquadrature Solution of the Linear Integral Equations of the Second Kind in the Class of Integrable Functions. Open Access Library Journal, 7, e6069. doi: http://dx.doi.org/10.4236/oalib.1106069.

References

[1]  Dobrovolsky, I.P. (2019) Quasi-Quadrature Solution of Integral Equations Fredholm of the Second Kind in the Class of Integrable Functions. Open Access Library Journal, 6, e5736. https://doi.org/10.4236/oalib.1105736
[2]  Dobrovolsky, I.P. (2015) The Esti-mation of the Error at Richardson’s Extrapolation and the Numerical Solution of Integral Equations of the Second Kind. Open Access Library Journal, 2, e2051. https://doi.org/10.4236/oalib.1102051

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