
Go
Feb 13, 2020Open AccessArticle
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.
Sep 12, 2019Open AccessArticle
The analog of the quadrature solution of the equation of Fredholm 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. Computing examples show expediency of such approach in appropriate cases.
Aug 29, 2019Open AccessArticle
For importance of the trigonometric integrals, we have in this paper finding a series of power, some of trigonometric functions that did not exist before in the first section. As shown in the Section two, where, the integration of trigonometric function with power n has been achieved and approved, this result is considered as the first achievement. while in the third section we find integrals ...
Dec 15, 2017Open AccessArticle
This paper is concerned with the construction of a class of polynomial orthogonal with respect to the weight function w(x)=1x^{2} over the interval [0,1]. The zeros of these polynomials were employed as points of co ...
Dec 22, 2014Open AccessArticle
This paper investigated oscillatory properties of solutions for nonlinear
parabolic equations with impulsive effects under two different boundary
conditions. By using integral averaging method, variable substitution and
functional differential inequalities, we established several sufficient
conditions. At last, we provided two examples to illustrate the results.
Go


