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

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:08981221
DOI:10.1016/j.camwa.2009.03.081