Investigation approach for a nonlinear singular Fredholm integro-differential equation-Reference-Cited by-同舟云学术

Investigation approach for a nonlinear singular Fredholm integro-differential equation

Published:2022-01-30 Issue: Volume:40 Page:1-11
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Touati Sami¹^ORCID,Aissaoui Mohamed-Zine¹^ORCID,Lemita Samir²^ORCID,Guebbai Hamza¹^ORCID

Affiliation:

1. Université 8 Mai 1945 Guelma

2. École normale supérieure Ouergula

Abstract

In this paper, we examine the existence and uniqueness of the solution of nonlinear integro-differential Fredholm equation with a weakly singular kernel. Then, we develop an iterative scheme to approach this solution using the product integration method. Finally, we conclude with a numerical tests to show the effectiveness of the proposed method.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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