Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs: Pseudospectral Chebyshev Differentiation Matrices - Couverture souple

Khalil, M.; El-Kady, M.M.; Bakheet, H.

 
9783659268151: Pseudospectral Chebyshev Approximation for Solving Higher-Order BVPs: Pseudospectral Chebyshev Differentiation Matrices
Couverture souple
ISBN 10 : 3659268151 ISBN 13 : 9783659268151
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This work presents the Chebyshev spectral collocation method for solving higher-order boundary value problems based on ordinary differential equations. This method depends on using the higher-order pseudospectral differentiation matrices by using an explicit formula for higher-order derivatives of Chebyshev polynomials. Numerical examples of third-order, fourthorder,fifth-order, sixth-order, eighth-order, tenth-order and twelfth order boundary value problems are presented. Numerical experiments and comparisons with other methods are performed to demonstrate the high precision and efficiency of the proposed method. Differentiation matrices are employed to illustrate the proposed method.

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

Présentation de l'éditeur

This work presents the Chebyshev spectral collocation method for solving higher-order boundary value problems based on ordinary differential equations. This method depends on using the higher-order pseudospectral differentiation matrices by using an explicit formula for higher-order derivatives of Chebyshev polynomials. Numerical examples of third-order, fourthorder,fifth-order, sixth-order, eighth-order, tenth-order and twelfth order boundary value problems are presented. Numerical experiments and comparisons with other methods are performed to demonstrate the high precision and efficiency of the proposed method. Differentiation matrices are employed to illustrate the proposed method.

Biographie de l'auteur

M. Khalil is working in the faculty of Engineering, MSA University, 6th Oct. city,Giza, Egypt. He earned M.Sc in numerical analysis from the faculty of science,Department of Mathematics, Helwan University in 2009. His research field is the approximate solutions of higher order BVP's.

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
2012
Langue
anglais
ISBN 10 
3659268151
ISBN 13 
9783659268151
Reliure
Broché
Nombre de pages
104
Coordonnées du fabricant
non disponible
Personne responsable
KreGa Onlinehandel GmbH
4950000000000
info@krega-onlinehandel.de

Birkenweg 31
Brakel
33034
Allemagne