Keyword

variational iteration method

Description: The variational iteration method is an analytical and numerical technique for constructing approximate solutions to differential and integral equations.

Primary topic: Fractional Differential Equations Solutions (47%)

OpenAlex ID: keywords/variational-iteration-method

Variational iteration method – a kind of non-linear analytical technique: some examples

1999 · Ji-Huan He · International Journal of Non-Linear Mechanics · 2,554

Approximate analytical solution for seepage flow with fractional derivatives in porous media

1998 · Ji-Huan He · Computer Methods in Applied Mechanics and Engineering · 1,295

Variational iteration method for autonomous ordinary differential systems

2000 · Ji-Huan He · Applied Mathematics and Computation · 1,084

Variational iteration method—Some recent results and new interpretations

2006 · Ji-Huan He · Journal of Computational and Applied Mathematics · 928

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Variational iteration method: New development and applications

2007 · Ji-Huan He, Xu-Hong Wu · Computers & Mathematics with Applications · 763

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Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order

2006 · Ζ.Μ. Odibat, S. Momani · International Journal of Nonlinear Sciences and Numerical Simulation · 742

A new approach to nonlinear partial differential equations

1997 · Jihuan He · Communications in Nonlinear Science and Numerical Simulation · 650

Construction of solitary solution and compacton-like solution by variational iteration method

2005 · Ji-Huan He, Xu-Hong Wu · Chaos Solitons & Fractals · 645

Variational iteration method for solving Burger's and coupled Burger's equations

2004 · M.A. Abdou, A.A. Soliman · Journal of Computational and Applied Mathematics · 541

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A Tutorial Review on Fractal Spacetime and Fractional Calculus

2014 · Ji-Huan He · International Journal of Theoretical Physics · 530

Application of He’s variational iteration method to Helmholtz equation

2005 · Shaher Momani, Salah Abuasad · Chaos Solitons & Fractals · 472

An Elementary Introduction to Recently Developed Asymptotic Methods and Nanomechanics in Textile Engineering

2008 · JI-HUAN HE · International Journal of Modern Physics B · 464

Numerical comparison of methods for solving linear differential equations of fractional order

2005 · Shaher Momani, Zaid Odibat · Chaos Solitons & Fractals · 393

Variational iteration method for delay differential equations

1997 · Jihuan He · Communications in Nonlinear Science and Numerical Simulation · 374

New applications of variational iteration method

2005 · M.A. Abdou, A.A. Soliman · Physica D Nonlinear Phenomena · 347

Analytical approach to linear fractional partial differential equations arising in fluid mechanics

2006 · Shaher Momani, Zaid Odibat · Physics Letters A · 306

The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method

2008 · Mustafa Inc · Journal of Mathematical Analysis and Applications · 299

The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations

2006 · N. Bildik, A. Konuralp · International Journal of Nonlinear Sciences and Numerical Simulation · 298

The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics

2009 · Zaid Odibat, Shaher Momani · Computers & Mathematics with Applications · 288

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On the convergence of He's variational iteration method

2006 · Mehdi Tatari, Mehdi Dehghan · Journal of Computational and Applied Mathematics · 284

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Numerical methods for nonlinear partial differential equations of fractional order

2006 · Zaid Odibat, Shaher Momani · Applied Mathematical Modelling · 275

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Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations

2006 · D.D. Ganji, A. Sadighi · Journal of Computational and Applied Mathematics · 270

The Variational Iteration Method Which Should Be Followed

2010 · Ji‐Huan He, Guo‐Cheng Wu, et al. · PolyU Institutional Research Archive (Hong Kong Polytechnic University) · 269

Numerical studies for a multi-order fractional differential equation

2007 · N.H. Sweilam, M.M. Khader, et al. · Physics Letters A · 268

A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials

2006 · S. Abbasbandy · Journal of Computational and Applied Mathematics · 254

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Works count: 2,710

Citation count: 53,350