Approximate solution of singular integral equations.

DOI10.1016/S0893-9659(04)90125-5zbMath1061.65141MaRDI QIDQ1764557

Xianqiang Yang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

singular integral equationsnumerical examplesCauchy type kernelapproximation by polynomials

Mathematics Subject Classification ID

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

Related Items (15)

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 ⋮ Constructing solutions of Cauchy type integral equations by using four kinds of basis ⋮ Methods of solution of singular integral equations ⋮ Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel ⋮ A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics ⋮ Numerical solution for system of Cauchy type singular integral equations with its error analysis in complex plane ⋮ Approximate solution of dual integral equations using Chebyshev polynomials ⋮ Solution of Cauchy type singular integral equations of the first kind by using differential transform method ⋮ An approximate numerical method for solving Cauchy singular integral equations composed of multiple implicit parameter functions with unknown integral limits in contact mechanics ⋮ Some properties of singular integral operators over an open curve ⋮ Generalization of Darbo-Type Fixed Point Theorem and Applications to Integral Equations ⋮ Approximate solution of singular integral equations of the first kind with Cauchy kernel ⋮ Approximate solution for a class of hypersingular integral equations ⋮ Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

Cites Work

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• Evaluation of Cauchy principal-value integrals using modified Simpson rules
• End-point behaviour of solutions to hypersingular integral equations
• Solution of Two Singular Integral Equations Arising in Water Wave Problems
• On boundary integral equations for crack problems
• A New Approach to the Problem of Scattering of Water Waves by Vertical Barriers

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