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Improvement of He’s variational iteration method for solving systems of differential equations

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Title: Improvement of He’s variational iteration method for solving systems of differential equations
Authors: Tatari, Mehdi1 mtatari@cc.iut.ac.ir, Dehghan, Mehdi2 mdehghan@aut.ac.ir
Source: Computers & Mathematics with Applications. Dec2009, Vol. 58 Issue 11/12, p2160-2166. 7p.
Subjects: Iterative methods (Mathematics), Nonlinear differential equations, Mathematical sequences, Stochastic convergence, Partial differential equations, Mathematical analysis
Abstract: Abstract: In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He’s variational iteration method. This method is a very powerful method for solving a large amount of problems. It provides a sequence which converges to the solution of the problem without discretization of the variables. In this work an idea is proposed that accelerates the convergence of the sequences which result from the variational iteration method for solving systems of differential equations. Illustrative examples are presented to show the validity of the new method. [Copyright &y& Elsevier]
Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Dec2009, Vol. 58 Issue 11/12, p2160-2166. 7p.
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  Data: Abstract: In recent years a lot of attention from researchers has been attracted to the various aspects of the well known He’s variational iteration method. This method is a very powerful method for solving a large amount of problems. It provides a sequence which converges to the solution of the problem without discretization of the variables. In this work an idea is proposed that accelerates the convergence of the sequences which result from the variational iteration method for solving systems of differential equations. Illustrative examples are presented to show the validity of the new method. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.camwa.2009.03.081
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 7
        StartPage: 2160
    Subjects:
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Nonlinear differential equations
        Type: general
      – SubjectFull: Mathematical sequences
        Type: general
      – SubjectFull: Stochastic convergence
        Type: general
      – SubjectFull: Partial differential equations
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
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      – TitleFull: Improvement of He’s variational iteration method for solving systems of differential equations
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            NameFull: Tatari, Mehdi
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            NameFull: Dehghan, Mehdi
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              M: 12
              Text: Dec2009
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              Y: 2009
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              Value: 58
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              Value: 11/12
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            – TitleFull: Computers & Mathematics with Applications
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