Results 11 to 20 of about 1,219,987 (236)
Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations
Axioms, 2020 We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides.
Ilya Boykov +2 more
doaj +3 more sources
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper attempts to propose and investigate a modification of the homotopy perturbation method to study hypersingular integral equations of the first kind.
Reza Novin +1 more
doaj +3 more sources
Approximate solution for a class of hypersingular integral equations
Applied Mathematics Letters, 2006 A simple approximate method for solving a general hypersingular integral equation of the first kind with its kernel consisting of a hypersingular part and a regular part is developed here.
B N Mandal
exaly +3 more sources
On approximation of hypersingular integral operators by bounded ones [PDF]
Journal of Mathematical Analysis and Applications, 2021 We solve the Stechkin problem about approximation of generally speaking unbounded hypersingular integral operators by bounded ones. As a part of the proof, we also solve several related and interesting on their own problems.
V. Babenko, O. Kovalenko, N. Parfinovych
semanticscholar +3 more sources
Modified homotopy perturbation method for solving hypersingular integral equations of the first kind. [PDF]
Springerplus, 2016 Modified homotopy perturbation method (HPM) was used to solve the hypersingular integral equations (HSIEs) of the first kind on the interval [−1,1] with the assumption that the kernel of the hypersingular integral is constant on the diagonal of the ...
Eshkuvatov ZK +3 more
europepmc +2 more sources
Advances in Mathematical Physics, 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi +3 more
doaj +2 more sources
Hypersingular Integral Equations Encountered in Problems of Mechanics
MathematicsIn the paper, for hypersingular integral equations with new kernels, a solution is constructed using an approach based on Chebyshev orthogonal polynomials and the principle of contraction mappings.
Suren M. Mkhitaryan +3 more
doaj +2 more sources
Boundary regularized integral equation formulation of the Helmholtz equation in acoustics [PDF]
Royal Society Open Science, 2015 A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically.
Qiang Sun +3 more
doaj +2 more sources
Hypersingular integral equation for multiple curved cracks problem in plane elasticity [PDF]
International Journal of Solids and Structures, 2009 The complex variable function method is used to formulate the multiple curved crack problems into hypersingular integral equations. These hypersingular integral equations are solved numerically for the unknown function, which are later used to find the ...
N M A Nik Long, Z K Eshkuvatov
exaly +2 more sources
Solution of a hypersingular integral equation in two disjoint intervals
Applied Mathematics Letters, 2009 A hypersingular integral equation in two disjoint intervals is solved by using the solution of Cauchy type singular integral equation in disjoint intervals.
Sudeshna Banerjea
exaly +2 more sources