Approximate Solution of the Boundary Value Problem for the Helmholtz Equation with Impedance Condition

A. R. Aliev; R. J. Heydarov

doi:10.1134/S1064562419050090

Approximate Solution of the Boundary Value Problem for the Helmholtz Equation with Impedance Condition

Authors: Aliev A.R.¹^,2, Heydarov R.J.¹^,3
Affiliations:
1. Azerbaijan State Oil and Industry University
2. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
3. Ganja State University
Issue: Vol 100, No 2 (2019)
Pages: 436-439
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/225715
DOI: https://doi.org/10.1134/S1064562419050090
ID: 225715

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Abstract
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Abstract

The collocation method is justified for the integral equation of the impedance boundary value problem for the Helmholtz equation. A sequence is constructed that converges to the exact solution of this boundary value problem, and an error estimate is deduced.

About the authors

A. R. Aliev

Azerbaijan State Oil and Industry University; Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Author for correspondence.
Email: alievaraz@yahoo.com
Azerbaijan, Baku, AZ1010; Baku, AZ1141

R. J. Heydarov

Azerbaijan State Oil and Industry University; Ganja State University

Author for correspondence.
Email: heyderov.rahib@gmail.com
Azerbaijan, Baku, AZ1010; Ganja, AZ2003

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