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
收藏
页数：11
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