Second-order two-point boundary value problems using the variational iteration algorithm-II

In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary valu...

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Bibliographic Details
Published in:International journal of computer mathematics Vol. 88; no. 6; pp. 1201 - 1207
Main Authors: Wu, Boying, Li, Xiuying
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.04.2011
Taylor & Francis Ltd
Subjects:
Accuracy
Algorithms
Approximation
Boundary conditions
Boundary value problems
Computer simulation
improved variational iteration method
Iterative methods
Mathematical analysis
Mathematical models
Mathematical problems
nonlinear
Nonlinearity
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Summary:In this paper, we introduce an improved variational iteration method (VIM) for nonlinear second-order boundary value problems. The main advantage of this modification is that it can avoid additional computation in determining the unknown parameters in initial approximation when solving boundary value problems using the conventional VIM. Also, iterative sequences obtained using the improved VIM do satisfy the boundary conditions while iterative sequences obtained using conventional VIM may not, in general, satisfy the boundary conditions. Numerical results reveal that the improved method is accurate and efficient.
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ISSN:0020-7160
1029-0265
DOI:10.1080/00207160.2010.496481