Articles liés à The modified Adomian decomposition method: Singular...

The modified Adomian decomposition method: Singular initial-value problems in second and higher-order ordinary differential equations of Lane-Emden - Couverture souple

Hasan, Yahya

 
9783659314797: The modified Adomian decomposition method: Singular initial-value problems in second and higher-order ordinary differential equations of Lane-Emden
Couverture souple
ISBN 10 : 365931479X ISBN 13 : 9783659314797
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Adomian’s decomposition method is a useful and powerful method for solving linear and nonlinear ordinary differential equations. In this book we consider singular initial value problems, singular boundary value problems, boundary value problems and nonlinear oscillatory equations. Singular initial-value problems in second-order ordinary differential equations of Lane-Emden type are investigated.In this study, we shall introduce a further development in the Adomian decomposition method to overcome the difficulty at linear and non-linear Lane-Emden-like equations; especially when the singularity appears two times on the left -hand side of this type of equations. A more general concept of this type of initial-value problems is introduced with various examples. The numerical results of these examples are compared with exact solutions when available. A fast and accurate algorithm is developed for the solution of higher order boundary value problems with boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems.

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

Présentation de l'éditeur

Adomian’s decomposition method is a useful and powerful method for solving linear and nonlinear ordinary differential equations. In this book we consider singular initial value problems, singular boundary value problems, boundary value problems and nonlinear oscillatory equations. Singular initial-value problems in second-order ordinary differential equations of Lane-Emden type are investigated.In this study, we shall introduce a further development in the Adomian decomposition method to overcome the difficulty at linear and non-linear Lane-Emden-like equations; especially when the singularity appears two times on the left -hand side of this type of equations. A more general concept of this type of initial-value problems is introduced with various examples. The numerical results of these examples are compared with exact solutions when available. A fast and accurate algorithm is developed for the solution of higher order boundary value problems with boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems.

Biographie de l'auteur

Yahya Qaid Hasan, male, was born in the city of Taiz, Yemen. He got PhD degree on Applied Mathematic from Harbin Institute of Technology (China)in 2009.He works in Thamar University.His research interest includes Differential Equations and its applications, numerical solution of Differential Equations.

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 
365931479X
ISBN 13 
9783659314797
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
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