On the solvability of singular integral equations via gauss-jacobi quadrature

DOI10.1080/00207168208803324zbMath0488.65062OpenAlexW2035943514WikidataQ126244391 ScholiaQ126244391MaRDI QIDQ3949918

R. P. Srivastav, Apostolos Gerasoulis

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00207168208803324

zbMATH Keywords

existenceuniquenessconstant coefficientscollocationdirect methodsecond kindGauss-Jacobi quadrature

Mathematics Subject Classification ID

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

Related Items

Recent developments in the numerical solution of singular integral equations ⋮ Rational function approximations in the numerical solution of Cauchy-type singular integral equations ⋮ The perturbed Galerkin method for Cauchy singular integral equation with constant coefficients ⋮ Discrete projection methods for Cauchy singular integral equations with constant coefficients ⋮ The singular value decomposition of the Gauss-Chebyshev and Lobatto-Chebyshev methods for Cauchy Singular Integral Equations ⋮ Solving Cauchy singular integral equations by using general quadrature- collocation nodes ⋮ On the consistency of numerical solutions of singular integral equations of the second kind with negative index using Jacobi polynomials

Cites Work

• The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type
• A method for the numerical solution of singular integral equations with a principal value integral
• On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
• On quadrature formulas for singular integral equations of the first and the second kind
• An analysis of a method for solving singular integral equations
• The Numerical Solution of Singular Integral Equations over $( - 1,1)$
• Approximate Solutions of Systems of Singular Integral Equations
• On the numerical solution of singular integral equations
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