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

Yahya Hasan

ISBN 10: 365931479X / ISBN 13: 9783659314797

Published by LAP Lambert Academic Publishing, 2012

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9783659314797

Bibliographic Details

• Title: The modified Adomian decomposition method : Singular initial-value problems in second and higher-order ordinary differential equations of Lane-Emden
• Publisher: LAP Lambert Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 365931479X
• ISBN 13: 9783659314797
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 166 grams

About this title

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.

About the Author

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.