In this paper, using the modified Adomian decomposition method, a novel fast scheme, has
been presented, being interactive, to be used for solving a class of hypersingular integral …

We consider the ground-state properties of an extended one-dimensional Bose gas with
pointwise attractive interactions. We take the limit where the interaction strength goes to zero …

New formulations are produced for problems associated with multiple cracks in the upper
part of thermoelectric-bonded materials subjected to remote stress using hypersingular …

In this paper, a new weighted algorithm based on modified Adomian decomposition method
is employed to obtain analytical solution of a class of hypersingular integral equations of the …

In 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 …

This paper attempts to propose and investigate a modification of the homotopy perturbation
method to study hypersingular integral equations of the first kind. Along with considering this …

The exact solutions of a class of hypersingular integral equations with kernels,,, are obtained
where the integrals must be interpreted as Hadamard finite-part integrals. Problems of …

In this note, we consider a hypersingular integral equations (HSIEs) of the first kind on the
interval [–1, 1] with the assumption that kernel of the hypersingular integral is constant on the …

The airfoil integral equation over two disjoint intervals, separated by a distance κ, is
considered. An analytic solution is obtained in terms of a polynomial series that satisfies a …

Often in scattering theory, two-dimensional singular integrals arise over a circular or elliptic
region. So far, formulas either for evaluating Cauchy principal value integrals over circular …