On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

Mourad Ghiat, Hamza Guebbai*, Muhammet Kurulay, Sami Segni

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

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 languageEnglish
Article number206
JournalComputational and Applied Mathematics
Volume39
Issue number3
DOIs
Publication statusPublished - 1 Sept 2020
Externally publishedYes

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

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