In this paper we study integral equations of the third kind with fixed singularities in the kernel. For the approximate solution of these equations in the space of generalized functions we propose and justify a new generalized ...

Here we present a method for constructing the solution a simply connected domain with a given smooth boundary by an approximate solution of the Fredholm equation. Consider the problem in the following formulation: given ...

The temperature field in the formation disturbed by the heat flow from the borehole is modeled by the heat conduction equation and thermal interaction of the circulating fluid with formation is approximated by the Newton ...

©Allerton Press, Inc., 2015. We propose and substantiate a special variant of the subdomain-collocation method for the approximate solving integral equations of the third kind in the general case of zeros of the coefficient ...

© Allerton Press, Inc., 2018. We consider a linear integral equation of the third kind with fixed singularities in its kernel. We offer and prove a special version of collocation method for its approximate solving.

In this paper we propose and justify special direct methods for the approximate solution of equations of the third kind in the space of distributions. © N.S. Gabbasov and S.A. Solov'eva, 2012.

© Petrozavodsk State University, 2019. Here we apply the Cauchy integral method for the Laplace equation in multiply connected domains when the data on each boundary component has the form of the Dirichlet condition or the ...