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Application des méthodes numériques aux équations différentielles

Application des méthodes numériques aux équations différentielles


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About the Book

Ce livre est une tentative de présenter l'application des méthodes numériques dans les équations différentielles aux étudiants de premier cycle, aux masters ainsi qu'aux chercheurs. Il décrit quelques méthodes et techniques de base pour la programmation de la simulation des équations différentielles. J'ai d'abord passé en revue quelques concepts de base des approximations numériques, puis les méthodes d'Euler. J'ai fourni des détails sur le développement d'algorithmes utilisant la méthode d'Euler. J'ai également discuté de l'approximation des erreurs et, enfin, j'ai utilisé des algorithmes intégrés à l'environnement de programmation MATLAB. Tous les programmes pourraient facilement être implémentés dans n'importe quel langage de programmation tel que C, Java. MATLAB est un choix pratique car il a été conçu pour le calcul scientifique et une variété d'opérations numériques.J'ai discuté des systèmes du premier ordre, de la dérivée discrète, de la méthode d'Euler, de l'évaluation de l'erreur en utilisant les séries de Taylor, de la programmation et de l'implémentation à l'aide d'exemples appropriés. J'ai également abordé les systèmes du second ordre, la masse-ressort, l'implémentation de la méthode d'Euler pour les systèmes du second ordre avec des exemples de la méthode du point milieu. J'ai également présenté la méthode Runge-kutta. Cette méthode est simplement une approximation d'ordre supérieur aux méthodes du point milieu.


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Product Details
  • ISBN-13: 9786205003763
  • Publisher: KS Omniscriptum Publishing
  • Publisher Imprint: Editions Notre Savoir
  • Height: 229 mm
  • No of Pages: 56
  • Spine Width: 3 mm
  • Width: 152 mm
  • ISBN-10: 6205003767
  • Publisher Date: 14 Apr 2023
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Weight: 145 gr


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