Approximate methods for solving hypersingular integral equations

DOI10.1007/978-3-030-65509-9_3zbMath1470.65210OpenAlexW3138697528MaRDI QIDQ2232052

Ilia V. Boikov

Publication date: 4 October 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-65509-9_3

zbMATH Keywords

collocation methodhypersingular integral equationsmechanical quadrature method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05)

Related Items (1)

Approximate methods for solving hypersingular integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of a certain hypersingular integral equation of the first kind
• Approximate solution of singular integral equations of the first kind with Cauchy kernel
• Exact solution of a simple hypersingular integral equation
• Complex hypersingular integrals and integral equations in plane elasticity
• A boundary element method applied to sandwich plates of arbitrary plan form.
• New iterative method for solving linear and nonlinear hypersingular integral equations
• On a continuous method for solving nonlinear operator equations
• Approximate methods for solving hypersingular integral equations
• Analysis of some computational schemes for a hypersingular integral equation on an interval
• Justification of the Galerkin method for hypersingular equations
• End-point behaviour of solutions to hypersingular integral equations
• On the solution of integral equations with strongly singular kernels
• Numerical Solution of Nonlinear Hypersingular Integral Equations of the Peierls Type in Dislocation Theory
• Modified homotopy perturbation method for solving hypersingular integral equations of the second kind

This page was built for publication: Approximate methods for solving hypersingular integral equations