The present review deals with the fundamental approaches that cover the numerical
solutions of singular and hypersingular integrals. The contribution of this work is to highlight …

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 …

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 …

Актуальность и цели. Приближенные методы решения гиперсингулярных
интегральных уравнений являются активно развивающимся направлением …

The Fredholm integral equations of the first kind with two regular and hypersingular kernels
are considered on [− 1, 1]. The hypersingular kernel is considered smooth enough with no …

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 …

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 …

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 …

Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an
approximate solution of hyper-singular integral equations of the first kind. Convergence and …

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 diagonal of the …