Solution of an integro-differential nonlinear equation of Volterra arising of earthquake model

  • Selma Salah University may 8th 1945 Guelma
  • Hamza Guebbai University may 8th 1945 Guelma
  • Samir Lemita University may 8th 1945 Guelma
  • Mohamed Zine Aissaoui University may 8th 1945 Guelma

Resumo

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.

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Referências

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Publicado
2022-01-30
Seção
Artigos