Abstract
In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.
Original language | English |
---|---|
Article number | 206 |
Journal | Computational and Applied Mathematics |
Volume | 39 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sept 2020 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
Keywords
- Fixed point
- Integro-differential
- Nonlinear equation
- Product integration method
- Volterra equation