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Article information
2026 , Volume 31, ¹ 1, p.39-56
Hannachi M., Tair B., Guebbai H.
Modelling earthquakes using bi-nonlinear Volterra integral equations
In this article, we present a novel mathematical model for simulating earthquake phenomena, distinguished by its originality, efficiency, and realism compared to prior research. Our primary innovation involves the integration of non-constant frictional resistance. The earthquake model we propose is expressed as a bi-nonlinear Volterra integral equation. Subsequently, we verify the existence and uniqueness of a solution to this equation under certain conditions. Through numerical simulations, we illustrate the alignment between our analytical and numerical predictions and the observed physical phenomena. Finally, experimental findings are showcased to confirm the effectiveness of our mathematical model.
Keywords: earthquake, seismic modelling, Volterra integral equation, numerical integration
Author(s):
Hannachi Marwa
Position: Student
Office: University 8 mai 1945 Guelma
Address: 24000, Algiers, Guelma, Guelma B.P. 401
E-mail: segnianis@gmail.com
Tair Boutheina
Position: Research Scientist
Office: University Constantine 03, National higher school of biotechnology
Address: Algiers, Ali Menjeli, Guelma, Guelma B.P. 401
E-mail: tairboutheina2@gmail.com
Guebbai Hamza
PhD. , Professor
Position: Professor
Office: University 8 mai 1945
Address: 24000, Algiers, Guelma, BP 401
E-mail: guebaihamza@yahoo.fr
Bibliography link:
Hannachi M., Tair B., Guebbai H. Modelling earthquakes using bi-nonlinear Volterra integral equations // Computational technologies. 2026. V. 31. ¹ 1. P. 39-56
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