Analytical and Numerical Approach for a Nonlinear Volterra-Fredholm Integro-differential Equation

被引：0

作者：

Bounaya, Mohammed Charif ^{[1
]}

Lemita, Samir ^{[2
]}

Touati, Sami ^{[1
]}

Aissaoui, Mohamed Zine ^{[1
]}

机构：

[1] Univ 8 Mai 1945, Lab Math Appl & Modelisat, Guelma, Algeria

[2] Ecole Normale Super, Dept Sci Exactes, Ouergla, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Volterra-Fredholm integro-differential equation; fixed point; Nystrome method; successive approximations;

D O I：

10.5269/bspm.52191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An approach for Volterra-Fredholm integro-differential equations using appropriate fixed point theorems of existence, uniqueness is presented. The approximation of the solution is performed using Nystro center dot m method in conjunction with successive approximations algorithm. Finally, we give a numerical example, in order to verify the effectiveness of the proposed method with respect to the analytical study.

引用

页数：1

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