Analytical and numerical study for an integro-differential nonlinear volterra equation with weakly singular kernel

被引：21

作者：

Ghiat, Mourad ^{[1
]}

Guebbai, Hamza ^{[1
]}

机构：

[1] Univ 8 Mai 1945 Guelma, BP 401, Guelma 24000, Algeria

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 04期

关键词：

Volterra equation; Integro-differential; Fixed point; Nonlinear equation; Product integration method;

D O I：

10.1007/s40314-018-0597-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and the uniqueness of the solution of an integro-differential nonlinear Volterra equation with a weakly singular kernel, then using a product integration method with piecewise projection we approximate the solution of this equation.

引用

页码：4661 / 4674

页数：14

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