Modified homotopy perturbation method for solving hypersingular integral equations of the second kind

DOI10.1063/1.4952507OpenAlexW2528726001MaRDI QIDQ4989228

F. S. Zulkarnain, Nik Mohd Asri Nik Long, Zainidin K. Eshkuvatov, Fudziah Bt. Ismail

Publication date: 21 May 2021

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/57170/1/Modified%20homotopy%20perturbation%20method%20for%20solving%20hypersingular%20integral%20equations%20of%20the%20second%20kind.pdf

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (2)

Homotopy perturbation method and Chebyshev polynomials for solving a class of singular and hypersingular integral equations ⋮ Approximate methods for solving hypersingular integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• An approximate solution of nonlinear hypersingular integral equations
• Integral equations with hypersingular kernels--theory and applications to fracture mechanics
• Modified homotopy perturbation method for solving non-linear Fredholm integral equations
• A new method for solving hypersingular integral equations of the first kind
• On the coupling of the homotopy perturbation method and Laplace transformation
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• Hypersingular integral equation for multiple curved cracks problem in plane elasticity
• An approximate solution of hypersingular integral equations
• Approximate solution of singular integral equations of the first kind with Cauchy kernel
• Approximate solution for a class of hypersingular integral equations
• The convergence of several algorithms for solving integral equations with finite part integrals. II
• The solution of integral equations with strongly singular kernels applied to the torsion of cracked circular cylinder
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation technique
• A new modified Adomian decomposition method for solving a class of hypersingular integral equations of second kind
• Approximate solution of a class of singular integral equations of second kind
• Numerical solutions of the nonlinear Volterra-Fredholm integral equations by using homotopy perturbation method
• Application of He's homotopy perturbation method for \(n\)th-order integro-differential equations
• Piecewise homotopy methods for nonlinear ordinary differential equations
• Derivation of the solution of a simple hypersingular integral equation

This page was built for publication: Modified homotopy perturbation method for solving hypersingular integral equations of the second kind