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Numerical Solution of NBV Problem for Elliptic Differential Equations: Bitsadze-Samarkii Type Elliptic Equations - Couverture souple

Ozturk, Elif

 
9783847303589: Numerical Solution of NBV Problem for Elliptic Differential Equations: Bitsadze-Samarkii Type Elliptic Equations
Couverture souple
ISBN 10 : 3847303589 ISBN 13 : 9783847303589
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

Bitsadze-Samarskii nonlocal boundary value problem for elliptic differential equation in a Hilbert space H with the self-adjoint positive definite operators A is considered. The well-posedness of this problem in Hölder spaces with a weight is established. The coercivity inequalities for the solutions of the nonlocal boundary value problem for elliptic equation are obtained. The second and fourth orders of accuracy difference schemes for the approximate solutions of this nonlocal boundary value problem are presented. The stability estimates, coercivity and almost coercivity inequalities for the solution of these difference schemes are established. The well-posedness of these difference schemes in Hölder spaces with a weight is proved. The Matlab implementation of these difference schemes for elliptic equation is presented. The theoretical statements for the solution of these difference schemes are supported by the results of numerical examples.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Bitsadze-Samarskii nonlocal boundary value problem for elliptic differential equation in a Hilbert space H with the self-adjoint positive definite operators A is considered. The well-posedness of this problem in Hölder spaces with a weight is established. The coercivity inequalities for the solutions of the nonlocal boundary value problem for elliptic equation are obtained. The second and fourth orders of accuracy difference schemes for the approximate solutions of this nonlocal boundary value problem are presented. The stability estimates, coercivity and almost coercivity inequalities for the solution of these difference schemes are established. The well-posedness of these difference schemes in Hölder spaces with a weight is proved. The Matlab implementation of these difference schemes for elliptic equation is presented. The theoretical statements for the solution of these difference schemes are supported by the results of numerical examples.

Biographie de l'auteur

Elif Oztürk was born in Bursa, Turkey in 1984. She took her Bachelor degree from Yıldız Technical University. She graduated from Departments of Mathematics and Statistics in 2006. She took the degree of Master of Applied Mathematics from Fatih University in 2008. She is Phd candidate at Uludag University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3847303589
ISBN 13 
9783847303589
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
Personne responsable
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