Application of Faber polynomials to the approximate solution of a generalized boundary value problem of linear conjugation in the theory of analytic functions

DOI10.1016/j.camwa.2014.02.012zbMath1350.65149OpenAlexW2050618312MaRDI QIDQ316665

Michail A. Sheshko, Paweł Wójcik, Paweł Karczmarek, Dorota Pylak

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.02.012

zbMATH Keywords

singular integral equationsboundary value problemsapproximate solutionFaber polynomialsmethod of successive approximationslinear conjugationLyapunov curve

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Boundary value problems in the complex plane (30E25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Approximate solution of a dominant singular integral equation with conjugation

Cites Work

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• Numerical Analysis and Its Applications
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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