Moving Boundary Value Problems
Résumé: This thesis describes new techniques of some methods which were employed to compute approximate solutions to partial differential equations with moving boundaries. The problems concerned were the determination of the concentration of oxygen diffusion in absorbing medium or tissue in both one dimensional cartesian and axially symmetric cylindrical coordinates, and the determination of the temperature in melting ice for one dimensional problem. The diffusion problem had a singularity on the initial boundary which was treated by using an approximate analytical solution and the numerical solution found by an explicit finite difference formulation of the governing differential equation for one dimensional problem, with unequal intervals in the neighbourhood of the moving boundary. A Taylor series expansion was used to solve for the oxygen concentration and to locate the boundary. For the melting ice problem the methods studied included variable time step methods with difference formulae and different methods of calculating the variable time step.
Mots-clès:
Nos services universitaires et académiques
Thèses-Algérie vous propose ses divers services d’édition: mise en page, révision, correction, traduction, analyse du plagiat, ainsi que la réalisation des supports graphiques et de présentation (Slideshows).
Obtenez dès à présent et en toute facilité votre devis gratuit et une estimation de la durée de réalisation et bénéficiez d'une qualité de travail irréprochable et d'un temps de livraison imbattable!
Aucun fichier associé
Si le fichier est volumineux, l'affichage peut échouer. Vous pouvez obtenir le fichier directement en cliquant sur le bouton "Télécharger".
