An optimal variational iteration method

The variational iteration method is studied in the present work. The classical variational iteration method is improved and extended by introducing a new concept of a convergence accelerating parameter. A rigorous approach is later proposed for optimally determining the value of the convergence acce...

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Bibliographic Details
Published in:Applied mathematics letters Vol. 24; no. 5; pp. 762 - 765
Main Author: Turkyilmazoglu, M.
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.05.2011
Elsevier
Subjects:
Approximate solution
Calculus of variations and optimal control
Convergence
Convergence accelerating parameter
Exact sciences and technology
Iterative methods
Mathematical analysis
Mathematics
Nonlinear equations
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Optimization
Residual error
Sciences and techniques of general use
Variational iteration method
Variational iteration method
Nonlinear equations
Approximate solution
Convergence accelerating parameter
Residual error
Non linear equation
Error estimation
Applied mathematics
Iteration
Convergence
ISSN:0893-9659, 1873-5452
Online Access:Get full text
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Summary:The variational iteration method is studied in the present work. The classical variational iteration method is improved and extended by introducing a new concept of a convergence accelerating parameter. A rigorous approach is later proposed for optimally determining the value of the convergence accelerating parameter. The consequences of the novel optimal variational iteration method are discussed through an application.
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ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.12.032