Abstract

The objective is to study the existence and uniqueness questions for a nonlinear Volterra-Fredholm integro-differential equation, then, develop a numerical approach using the Nyström method coupled with successive approximations algorithm. A numerical example is presented to examine the efficiency of the proposed method according to the existence and uniqueness conditions.

中文翻译：

---

非线性 Volterra-Fredholm 积分-微分方程的分析

摘要

目的是研究非线性 Volterra-Fredholm 积分-微分方程的存在性和唯一性问题，然后，使用 Nyström 方法和逐次逼近算法开发一种数值方法。给出了一个数值例子，根据存在性和唯一性条件来检验所提出方法的效率。