Investigation Approach for a Nonlinear Singular Fredholm Integro-differential Equation

被引：5

作者：

Touati, Sami ^{[1
]}

Aissaoui, Mohamed Zine ^{[1
]}

Lemita, Samir ^{[2
]}

Guebbai, Hamza ^{[1
]}

机构：

[1] Univ Mai 1945 Guelma, Fac Math & Informat & Sci Mat, BP 401, Guelma 24000, Algeria

[2] Ecole Normale Super Ouargula, Ouargla 30000, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Fredholm integro-differential equation; Singular kernel; Fixed point; Nonlinear equation; Product integration method;

D O I：

10.5269/bspm.46898

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 test to show the effectiveness of the proposed method.

引用

页数：11

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