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

By Mohamed Aly Mohamed Abdou, Abdel-Maksoud Abdel-Kader Soliman. 2005

564 citations recorded by the source corpus.

By means of variational iteration method the solutions of Burger's equation and coupled Burger's equations are exactly obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials.

Subfields: Mechanics of Materials, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a5d4db41852f9b7fa9f5942c09e5883b8d22093a

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. Elyas Shivanian
2. Saeid Abbasbandy
3. Xu-Hong Wu
4. Ji-Huan He
5. Junfeng Lu
6. Hasan Bulut
7. Haci Mehmet Baskonus
8. Fethi Bin Muhammad Belgacem

In Modeling and Simulation

1. Ji-Huan He
2. Elyas Shivanian
3. Saeid Abbasbandy
4. Xu-Hong Wu
5. Haci Mehmet Baskonus
6. Hasan Bulut
7. Syed Tauseef Mohyud-Din
8. Muhammad Aslam Noor

In Statistical and Nonlinear Physics

1. Ji-Huan He
2. Hasan Bulut
3. Saeid Abbasbandy
4. Haci Mehmet Baskonus
5. Elyas Shivanian
6. Xu-Hong Wu
7. Fethi Bin Muhammad Belgacem
8. Syed Tauseef Mohyud-Din

Citations in the corpus

• The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method (2013, methodology): “Notably, implementations of difference methods such as in the differential transform method (DTM), the Adomian decomposition method (ADM) [30–33], the variational iteration method (VIM) [34–40] empowered us to achieve approximate solutions of various ordinary differential equations.”
• Variational iteration method for solving two-point boundary value problems (2007, methodology): “According to the variational iteration method [7,1], we consider the following differential equation: Lu + Nu = g(x), (1) ∗ Tel.”
• Variational iteration method—Some recent results and new interpretations (2007, unknown): “Starting from pioneering ideas going back to Inokuti–Sekine–Mura method [16], the method has matured into a fully fledged theory thanks to the effects of many researchers, notably, Wazwaz [27], Draganescu [6,7], Abdou and Soliman [1–4,23,24], Odibat and Momani [19–22], Bildik [5], Marinca [17], Mogh”