On Existence and Numerical Solution of a New Class of Nonlinear Second Degree Integro-Differential Volterra Equation with Convolution Kernel

被引：0
|
作者：
Lemita, S. [1 ,2 ]
Guessoumi, M. L. [3 ]
机构：
[1] Echahid Cheikh Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12022, Algeria
[2] Univ 8 Mai 1945, Lab Math Appl & Modelisat, Guelma 24000, Algeria
[3] Ecole Normale Super Ouargla, Dept Sci Exact, Ouargla 30000, Algeria
来源：
NUMERICAL ANALYSIS AND APPLICATIONS | 2024年 / 17卷 / 03期
关键词：
Volterra equation; integro-differential equation; convolution kernel; Schauder fixed point theorem; Nystr & ouml; m method; INTEGRAL-EQUATION; FREDHOLM;
D O I：
10.1134/S1995423924030042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers a new class of nonlinear second degree integro-differential Volterra equation with a convolution kernel. We derive some sufficient conditions to establish the existence and uniqueness of solutions by using Schauder fixed point theorem. Moreover, the Nystr & ouml;m method is applied to obtain the approximate solution of the proposed Volterra equation. A numerical examples are given to validate the adduced results.
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页码：245 / 261
页数：17
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