A comparison between the variational iteration method and Adomian decomposition method

By Abdul-Majid Wazwaz. 2007

227 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/2a9e399f4a961fb7ffe429bcb3812ca552237a74

How researchers see this paper

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

In Biomedical Engineering

1. Yasir Khan
2. Ali Lotfi
3. Qingbiao Wu
4. Mehdi Dehghan
5. Ishak Hashim
6. Belal Batiha
7. M. Noorani
8. Xu-Hong Wu

In Mechanics of Materials

1. S. Yousefi
2. Ali Lotfi
3. Mehdi Dehghan
4. Jagdev Singh
5. Devendra Kumar
6. Xu-Hong Wu
7. Belal Batiha
8. Ishak Hashim

In Modeling and Simulation

1. Jagdev Singh
2. Devendra Kumar
3. Mehdi Dehghan
4. Ji-Huan He
5. M. Noorani
6. S. Yousefi
7. Ali Lotfi
8. Xu-Hong Wu

Citations in the corpus

• Variational iteration method: New development and applications (2007, methodology): “The convergence of the method is systematically discussed by Tatari and Dehghan [49], comparison of the method with Adomian method was conducted by many authors via illustrative examples, especially Wazwaz gave a completely comparison between the two methods [50], revealing the variational iteration”
• Homotopy perturbation transform method for nonlinear equations using He's polynomials (2011, background): “We now consider the nonhomogeneous advection problem [19,23]: ut + uux = 2t + x + t3 + xt2, u(x, 0) = 0.”
• Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “Several techniques including the Adomian decomposition method, the variational iteration method, the weighted finite difference techniques and the Laplace decomposition method have been used to handle advection equations [18-24].”
• Numerical Solution of Bratu-type Equations by the Variational Iteration Method (2010, unknown): “Wazwaz [29] presented a comparative study between the variational iteration method and Adomian decomposition method.”
• The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “In [40] the variational iteration method is compared with”
• Application of Variational Iteration Method to a General Riccati Equation (2007, methodology): “Wazwaz [25] presented a comparative study between the variational iteration method and Adomian decomposition method.”