Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

DOI10.1080/00207160.2012.738811zbMath1278.65204OpenAlexW1964044254MaRDI QIDQ2855731

Ilkem Turhan, Hüseyin Oğuz, Elçin Yusufoğlu (Agadjanov)

Publication date: 22 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.738811

zbMATH Keywords

Chebyshev polynomialscharacteristic singular integral equationChebyshev series expansionChauchy-type singular integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

Collocation method for solving systems of Fredholm and Volterra integral equations ⋮ Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials ⋮ Error analysis of a residual-based Galerkin's method for a system of Cauchy singular integral equations with vanishing endpoint conditions ⋮ A new operational method to solve Abel's and generalized Abel's integral equations ⋮ Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics

Cites Work

• Approximate solution of singular integral equations of the first kind with Cauchy kernel
• Solving singular integral equations using Gaussian quadrature and overdetermined system
• Approximate solution of singular integral equations.
• Solving Cauchy singular integral equations by using general quadrature- collocation nodes
• A numerical technique for the solution of singular integral equations of the second kind
• On boundary integral equations for crack problems
• Numerical solution of systems of singular integral equations with
• On the numerical solution of singular integral equations

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