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

Language: English

Published by LAP Lambert Academic Publishing, 2012

365931479X / 9783659314797

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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.…

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Title
The modified Adomian decomposition method : Singular initial-value problems in second and higher-order ordinary differential equations of Lane-Emden
Author
Yahya Hasan
Publisher
LAP Lambert Academic Publishing
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
365931479X
ISBN 13
9783659314797
Item weight
166 grams
Dimensions
220x150x7 mm

AHA-BUCH GmbH

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