A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation

A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation

Very recently, the convenient way to calculate the Adomian series was suggested. This paper combines this technique and the Pade approximation to develop some new iteration schemes. Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conv...

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Main Authors: Na Wei, Cheng-Xi Liu, Teng Hu, Fu-Cai You
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/601643
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spelling doaj-d839ac8a92214705801e759f12b591252020-11-24T20:58:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/601643601643A Convenient Adomian-Pade Technique for the Nonlinear Oscillator EquationNa Wei0Cheng-Xi Liu1Teng Hu2Fu-Cai You3State Key Laboratory of Oil and Gas Reservoirs Geology and Exploration, Southwest Petroleum University, Chengdu 610500, ChinaKey Laboratory of Numerical Simulation of Sichuan Province and College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaKey Laboratory of Numerical Simulation of Sichuan Province and College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, ChinaDepartment of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, ChinaVery recently, the convenient way to calculate the Adomian series was suggested. This paper combines this technique and the Pade approximation to develop some new iteration schemes. Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conveniences.http://dx.doi.org/10.1155/2014/601643
collection DOAJ
language English
format Article
sources DOAJ
author Na Wei
Cheng-Xi Liu
Teng Hu
Fu-Cai You
spellingShingle Na Wei
Cheng-Xi Liu
Teng Hu
Fu-Cai You
A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
Abstract and Applied Analysis
author_facet Na Wei
Cheng-Xi Liu
Teng Hu
Fu-Cai You
author_sort Na Wei
title A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
title_short A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
title_full A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
title_fullStr A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
title_full_unstemmed A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation
title_sort convenient adomian-pade technique for the nonlinear oscillator equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description Very recently, the convenient way to calculate the Adomian series was suggested. This paper combines this technique and the Pade approximation to develop some new iteration schemes. Then, the combined method is applied to nonlinear models and the residual functions illustrate the accuracies and conveniences.
url http://dx.doi.org/10.1155/2014/601643
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AT tenghu aconvenientadomianpadetechniqueforthenonlinearoscillatorequation
AT fucaiyou aconvenientadomianpadetechniqueforthenonlinearoscillatorequation
AT nawei convenientadomianpadetechniqueforthenonlinearoscillatorequation
AT chengxiliu convenientadomianpadetechniqueforthenonlinearoscillatorequation
AT tenghu convenientadomianpadetechniqueforthenonlinearoscillatorequation
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