Open AccessSolution of an integro-differential nonlinear equation of Volterra arising of earthquake model
Author(s) -
Selma Salah,
Hamza Guebbai,
Samir Lemita,
Mohamed Zine Aissaoui
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.48018
Subject(s) - uniqueness , nonlinear system , volterra integral equation , volterra equations , type (biology) , differential equation , mathematics , differential (mechanical device) , dimension (graph theory) , integro differential equation , mathematical analysis , integral equation , physics , geology , first order partial differential equation , quantum mechanics , pure mathematics , thermodynamics , paleontology
In this paper, we study a new type of modeling of an Earthquake phenomenon, a mechanical model of the earthquake process in one-dimension using usual mathematical functions, the latter leads to the study of nonlinear integro-differential equation of Volterra. The existence and the uniqueness of the solution are proved. Using Nystrom method is builded to approximate the solution. The numerical tests show the effectiveness of this type of modeling.