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Traitement d'un problème non linéaire by Flitti, Aicha

Traitement d'un problème non linéaire

by Aicha Flitti
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Book cover type: Paperback
  • ISBN13: 9786138493020
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Editions Universitaires Europeennes
  • Publisher Imprint: Editions Universitaires Europeennes
  • Publication Date:
  • Pages: 116
  • Original Price: GBP 52.98
  • Language: French
  • Edition: N/A
  • Item Weight: 164 grams
  • BISAC Subject(s): General

Les �quations diff�rentielles partielles (EDP) mod�lisent des ph�nom�nes physiques en exprimant des relations entre les d�riv�es partielles d'une fonction inconnue d�pendant de plusieurs variables ind�pendantes. La r�solution exacte est rarement possible, ce qui n�cessite l'utilisation de m�thodes num�riques pour obtenir des solutions approch�es.La m�thode num�rique courante pour la r�solution des EDP est la m�thode des diff�rences finies. C'est la m�thode la plus simple et la plus utilis�e. Elle consiste � remplacer les d�riv�es partielles par des diff�rences finies calcul�es sur un maillage discret des variables ind�pendantes. Cela transforme l'EDP en un syst�me d'�quations alg�briques pouvant �tre r�solu num�riquement. Il repose principalement sur la discr�tisation des d�riv�es et la r�solution de syst�mes alg�briques, tout en cherchant � pr�server les propri�t�s math�matiques fondamentales des �quations pour garantir la qualit� des solutions num�riques. On a utilis� comme sch�mas num�riques le sch�ma Upwind, Lax Wendroff et FCT LPE. Le sch�ma FCT-LPE peut reproduire fid�lement des solutions analytiques m�me avec des profils pr�sentant de forts gradients.

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