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Pré-Publication, Document De Travail Année : 2023

Rescaling method for blow-up solutions of nonlinear wave equations

Mondher Benjemaa
  • Fonction : Auteur
Aida Jrajria
  • Fonction : Auteur
Hatem Zaag

Résumé

We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce the blow-up phenomena, we propose a rule of scaling transformation, which is a variant of what was successfully used in the case of nonlinear parabolic equations. A careful study of the convergence of the proposed scheme is carried out and several numerical examples are performed in illustration.

Dates et versions

hal-04307463 , version 1 (26-11-2023)

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Mondher Benjemaa, Aida Jrajria, Hatem Zaag. Rescaling method for blow-up solutions of nonlinear wave equations. 2023. ⟨hal-04307463⟩
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