A hyperbolic tangent quadrature rule for solving singular integral equations with Hadamard finite part integrals

DOI10.1016/0898-1221(91)90070-KzbMath0737.65110MaRDI QIDQ1179394

Fenggang Zhang

Publication date: 26 June 1992

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

zbMATH Keywords

singular integralscollocationHadamard finite part integralshyperbolic tangent quadrature rule

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (1)

Approximate solutions of some Mellin equations with conjugation

Cites Work

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• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• The numerical evaluation of principal value integrals by finite-part integration
• Approximations via Whittaker's cardinal function
• On the solution of integral equations with a generalized Cauchy kernel
• On Solving Singular Integral Equations via a Hyperbolic Tangent Quadrature Rule

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