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An optimal variational iteration method

Applied Mathematics Letters, 2011
AbstractThe 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.
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Waves propagation of optical waves through nonlinear media; modified Kawahara equation

Results in Physics, 2023
The focus of this study is to investigate novel and precise solitary wave solutions of the modified Kawahara (MK) equation using recent and accurate computational techniques.
Mostafa M.A. Khater, Youbing Xia, Xiao Zhang, Raghda A.M. Attia   +3 more
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Some Problems on Variational Iteration Method [PDF]

, 2015
In this research project paper, I introduce some basic idea of Variational iteration method and its algorithm to solve the equations ODE & PDE, fractional differential equation, fractal differential equation and differential-difference equations.
Patra, Jaysmita
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Toward a modified variational iteration method

Journal of Computational and Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abassy, Tamer A., El-Tawil, Magdy A., El Zoheiry, H.   +2 more
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Simplified variational iteration method for solving ordinary differential equations and eigenvalue problems

Advances in Mechanical Engineering, 2016
A simplified variational iteration method is proposed to solve high-order homogeneous or nonhomogeneous linear ordinary differential equation and ordinary differential equation eigenvalue problems more efficiently and conveniently.
Chao Pan, Ruifu Zhang, Hao Luo, Hua Shen
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Konsep Metode Iterasi Variasional [PDF]

, 2015
We discuss a basic concept of variational iteration method for solving partial differential equations. Variational iteration method, which can be used for finding iterative formula, consists of three basic concepts, namely a general Lagrange multiplier, a
Agusni, A. (Agusni), Deswita, L. (Leli), Yuliani, Y. (Yuliani)   +2 more
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Time-Fractional KdV Equation: Formulation and Solution using Variational Methods

, 2011
In this work, the semi-inverse method has been used to derive the Lagrangian of the Korteweg-de Vries (KdV) equation. Then, the time operator of the Lagrangian of the KdV equation has been transformed into fractional domain in terms of the left-Riemann ...
A. A. Mahmoud, A. Babakhani, A.A. Kilbas, D. Baleanu, D. Baleanu, D. Baleanu, D. Baleanu, D. Delbosco, D.J. Korteweg, E. M. Abulwafa, E.M. Rabei, F. Riewe, F. Riewe, G.S.F. Frederico, H. Bateman, I. Podlubny, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.-H. He, J.A. Tenreiro Machado, M. A. Zahran, M. Attari, M. Inokuti, M.A.E. Herzallah, M.K. Fung, M.S. Tavazoei, N. Heymans, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, O.P. Agrawal, R.V. Mendes, R.Y. Molliq, S. A. El-Wakil, S. Momani, S. Saha Ray, S.G. Samko, S.I. Muslih, S.Q. Zhang, V.E. Tarasov, V.E. Tarasov, Y. Luchko   +43 more
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Variational Iteration Method for Delay Differential-Algebraic Equations [PDF]

Mathematical and Computational Applications, 2010
Variational iteration method is applied to solve a class of delay differential-algebraic equations. The obtained sequence of iteration is based on the use of Lagrange multipliers. The corresponding convergence results are obtained and successfully confirmed by some numerical examples.
Liu, Hongliang, Xiao, Aiguo, Zhao, Yongxiang   +2 more
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Fixed Point of the Finite System DMRG

, 1998
The density matrix renormalization group (DMRG) is a numerical method that optimizes a variational state expressed by a tensor product. We show that the ground state is not fully optimized as far as we use the standard finite system algorithm, that uses ...
Baxter R. J., Bursill R. J., Carlon E., Carlon E., Carlon E., Dukelsky J., Eggert S., Gehring G. A., Nishino T., Nishino T., Shibata N., Shibata N., Sierra G., Sorensen E. S., Wang X., White S. R., White S. R., White S. R., Xiang T., Östlund S.   +19 more
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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems

Abstract and Applied Analysis, 2012
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
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