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

2017/05/31 by Mostafa Akrami, Akrami, Mostafa, Taher Lotfi +3
Engineering · Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1706.01973

openalex publication_date 2017/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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