Constructive method for solving of one class of curvilinear integral equations of the first kind

E. H. Khalilov<sup>ab

a</sup> Scientific and Innovation Center, Western Caspian University, AZ1001, Baku, Azerbaijan
^b Department of General and Applied Mathematics, Azerbaijan State Oil and Industry University, AZ1010, Baku, Azerbaijan

Abstract: A new method for the construction of a quadrature formula for the normal derivative of the double-layer potential is developed and a method for calculating the approximate solution of the integral equation of the first kind for Dirichlet boundary value problems for the Helmholtz equation in the two-dimensional space is presented in this work.

Keywords and phrases: Dirichlet boundary value problems, Helmholtz equation, normal derivative, double layer potential, integral equations of the first kind.

UDC: 45E05
BBK: 31B10

Received: 15.01.2024

Language: English

DOI: 10.32523/2077-9879-2025-16-1-32-48