Variational iteration method for autonomous ordinary differential systems

By Ji-Huan He. Applied Mathematics and Computation, 2000

1,169 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/dfb4ed5e11af1164802c0eb946038c4936a64b48

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanics of Materials

1. Syed Tauseef Mohyud-Din
2. Muhammad Aslam Noor
3. Mehdi Dehghan
4. A. Sadighi
5. Elyas Shivanian
6. D. Domiri Ganji
7. Saeid Abbasbandy
8. Ji-Huan He

In Modeling and Simulation

1. Mehdi Dehghan
2. Ji-Huan He
3. Zaid M. Odibat
4. Syed Tauseef Mohyud-Din
5. D. Domiri Ganji
6. Ishak Hashim
7. Muhammad Aslam Noor
8. Saeid Abbasbandy

In Numerical Analysis

1. Mehdi Dehghan
2. Ji-Huan He
3. Zaid M. Odibat
4. Syed Tauseef Mohyud-Din
5. M. Noorani
6. Ishak Hashim
7. Muhammad Aslam Noor
8. D. Domiri Ganji

Citations in the corpus

• Application of variational iteration method for Hamilton–Jacobi–Bellman equations (2013, methodology): “In [34–42], He proposed the variational iteration method is which a correction functional for Eq.”
• Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method (2009, methodology): “In addition, in recent years, scientists have presented some new methods for solving nonlinear partial differential equations; for instance, Bäcklund transformation method [3], Lie groupmethod [4], Adomian’s decomposition method [5], inverse scattering method [6], Hirota’s bilinear method [7], homot”
• A new domain decomposition algorithm for generalized Burger’s–Huxley equation based on Chebyshev polynomials and preconditioning (2009, methodology): “Recently various powerful mathematical methods such as homotopy perturbation method [6–8], variational iteration method [9–18], Exp-function method [19,20], F-expansion method [21], and others [22,23] have been proposed to obtain exact and approximate analytic solutions for nonlinear problems in par”
• Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order (2006, methodology): “The principles of the variational iteration method and its applicability for various kinds of differential equations are given in [13-18].”
• HYPERBOLIC TYPE SOLUTIONS FOR THE COUPLE BOITI-LEON-PEMPINELLI SYSTEM (2020, methodology): “Some of these are a new sub equation method [1], homotopy analysis method [2, 3], homotopy-Pade method [4], homotopy perturbation method [5, 6], (G/G)-expansion method [7, 8], modified variational iteration algorithm-I [9, 10, 11], sub equation method [12], Variational iteration method with an auxil”
• Variational iteration method—Some recent results and new interpretations (2007, positive): “Introduction The variational iteration method [8–11,15] has been extensively worked out over a number of years by numerous authors.”
• Application of Variational Iteration Method to a General Riccati Equation (2007, background): “The present paper may be a suitable and fruitful exercise for teaching and better understanding techniques in advanced undergraduate courses on classical mechanics.”
• AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER (2008, methodology): “The decomposition method [20-28] and the variational iteration method [29-45] are relatively new approaches to provide an analytical approximate solution to linear”