# A new effective weighted modified perturbation technique for solving a class of hypersingular integral equations

## TL;DR

This paper introduces a new weighted modified perturbation technique for efficiently solving hypersingular integral equations of the second kind, demonstrating its simplicity and fast computation through practical examples.

## Contribution

The paper presents a novel weighted and modified perturbation method that encompasses special cases of the Adomian decomposition, improving solution efficiency for hypersingular integral equations.

## Key findings

- Method is simple and easy to implement.
- Demonstrates fast computational performance.
- Effective in solving hypersingular integral equations.

## Abstract

This paper is an attempt to solve an important class of hypersingular integral equations of the second kind. To this end, we apply a new weighted and modified perturbation method which includes some special cases of the Adomian decomposition method. To justify the efficiency and applicability of the proposed method, we examine some examples. The principal aspects of this method are its simplicity along with fast computations.