An approximate solution of hypersingular integral equations

DOI10.1016/j.apnum.2010.03.003zbMath1196.65197OpenAlexW2086143281MaRDI QIDQ977351

E. S. Ventsel, A. I. Boykova, Ilia V. Boikov

Publication date: 21 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.03.003

zbMATH Keywords

numerical exampleshypersingular integral equationsspline-collocation methodHadamard's finite part integralmulti-dimensional hypersingular integral equationspolyhypersingular integral equationssingular and weakly singular integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Numerical approach for the solution of hypersingular integro-differential equations, A novel collocation method for numerical solution of hypersingular integral equation with singular right-hand function, An approximate solution of nonlinear hypersingular integral equations, Error analysis of Chebyshev polynomial-based numerical method for system of hypersingular integral equations, New iterative method for solving linear and nonlinear hypersingular integral equations, Approximate solution of hypersingular integral equations on the number axis, Unnamed Item, A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations, Approximation of Hypersingular Integral Operators With Cauchy Kernel, Modified homotopy perturbation method for solving hypersingular integral equations of the second kind

Cites Work

• Two methods for the numerical solution of Bueckner's singular integral equation for plane elasticity crack problems
• Numerical analysis for integral and related operator equations.
• Boundary element preconditioners for a hypersingular integral equation on an interval
• A hypersingular boundary integral method for two-dimensional screen and crack problems
• The Classical Collocation Method for Singular Integral Equations
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