A modified method to identification of Lagrange multipliers
P Karimi,N Eshghi,Davood Domiri Ganji,M. Rostamian,Hamidreza Mohammadi Daniali +4 more
- Vol. 96, Iss: 1, pp 012076
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TLDR
In this paper, the exact identification of Lagrange multipliers in the variational iteration method is very important for obtaining highly accurate solutions, on the other hand, it is complicated to determine the multipliers for strongly nonlinear equations.Abstract:
Exact identification of Lagrange multipliers in the variational iteration method is very important for obtaining highly accurate solutions, on the other hand, it is complicated to determine the multipliers for strongly nonlinear equations. This paper overcomes completely the problem, and results are helpful for solving nonlinear equations.read more
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Computational Analysis of the Non - Linear Boundary Layer Flow over a Flat Plate Using Variational Iterative Method (VIM)
TL;DR: In this article, the authors applied the variational iterative method to solve the problem of the two-dimensional incompressi-ble laminar boundary layer flow over a flat plat also called the Blasius problem.
References
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Variational iteration method – a kind of non-linear analytical technique: some examples
TL;DR: In this paper, a variational iteration method for non-linear problems is proposed, where the problems are initially approximated with possible unknowns and a correction functional is constructed by a general Lagrange multiplier, which can be identified optimally via the variational theory.
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Variational iteration method for autonomous ordinary differential systems
TL;DR: A new iteration technique is proposed to solve autonomous ordinary differential systems by introducing general Lagrange multipliers to construct correction functionals for the systems.
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Variational iteration method-Some recent results and new interpretations
TL;DR: The main concepts in variational iteration method, such as general Lagrange multiplier, restricted variation, correction functional, are explained heuristically and the solution procedure is systematically addressed, in particular, for nonlinear oscillators.
Journal ArticleDOI
Construction of solitary solution and compacton-like solution by variational iteration method
Ji-Huan He,Xu-Hong Wu +1 more
TL;DR: In this paper, a variational iteration method is used to construct solitary solutions and compacton-like solutions for nonlinear dispersive equations and the chosen initial solution (trial function) can be in compacton form or in soliton form with some unknown parameters which can be determined in the solution procedure.
Journal ArticleDOI
A study on linear and nonlinear Schrodinger equations by the variational iteration method
TL;DR: In this article, a framework to obtain exact solutions to linear and nonlinear Schrodinger equations is introduced, where the He's variational iteration method (VIM) is used for analytic treatment of these equations.