Approximate solution of the two-dimensional singular integral equation

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Approximate quadrature formulas for the numerical calculation of the two-dimensional Vekua potential and singular integrals are obtained. The mechanical quadrature method for the two-dimensional quasilinear singular integral equation with Vekua operators is described. The numerical results are compared with the exact solution of the integral equation.

Original languageEnglish
Title of host publicationInternational Conference on Analysis and Applied Mathematics, ICAAM 2014
PublisherAmerican Institute of Physics Inc.
Pages73-77
Number of pages5
ISBN (Print)9780735412477
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014 - Shymkent, Kazakhstan
Duration: 11 Sept 201413 Sept 2014

Publication series

NameAIP Conference Proceedings
Volume1611
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
Country/TerritoryKazakhstan
CityShymkent
Period11/09/1413/09/14

Keywords

  • Mechanical quadrature method
  • Singular integral equation
  • Two-dimensional singular integral

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