An approximate solution of nonlinear hypersingular integral equations

DOI10.1016/J.APNUM.2014.07.002zbMath1297.65203OpenAlexW1973526491MaRDI QIDQ403579

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

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.07.002

zbMATH Keywords

algorithmconvergencenumerical exampleserror estimatehypersingular integral equationsspline-collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05)

Related Items (5)

Analytical discussion for the mixed integral equations ⋮ New iterative method for solving linear and nonlinear hypersingular integral equations ⋮ Approximate solution of hypersingular integral equations on the number axis ⋮ A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations ⋮ Modified homotopy perturbation method for solving hypersingular integral equations of the second kind

Cites Work

• An approximate solution of hypersingular integral equations
• A survey of numerical methods for solving nonlinear integral equations
• Numerical analysis for integral and related operator equations.
• Newton methods for a class of nonlinear hypersingular integral equations
• On the Newton-Kantorovich method
• Numerical solution of integral equations
• The numerical solution of a nonlinear hypersingular boundary integral equation
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