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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

has been cited by the following article:

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

  AUTHORS: Igor Petrovich Dobrovolsky

  KEYWORDS: Integral Average Value

  JOURNAL NAME: Open Access Library Journal, Vol.7 No.2, February 13, 2020

  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.