Application of He’s variational iteration method to Helmholtz equation

By Shaher Momani, Salah Abuasad. 2006

505 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/7d94c7faef1aa8b30285acc1d2397ac935165f0e

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. A. Sadighi
4. Mehdi Dehghan
5. D. Domiri Ganji
6. Zaid M. Odibat
7. Shaher Momani
8. Ji-Huan He

In Modeling and Simulation

1. Ji-Huan He
2. Mehdi Dehghan
3. D. Domiri Ganji
4. Syed Tauseef Mohyud-Din
5. Muhammad Aslam Noor
6. A. Sadighi
7. Xu-Hong Wu
8. S. Zhu

In Numerical Analysis

1. Ji-Huan He
2. Mehdi Dehghan
3. Syed Tauseef Mohyud-Din
4. D. Domiri Ganji
5. Muhammad Aslam Noor
6. Xu-Hong Wu
7. A. Sadighi
8. Zaid M. Odibat

Citations in the corpus

• 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”
• Modified homotopy perturbation method for solving non-linear Fredholm integral equations (2009, unknown): “All rights reserved.”
• Exp-function Method for the Hybrid-Lattice System (2007, methodology): “In the past decades, several powerful methods have been developed to construct many types of exact solutions of nonlinear partial differential equations(PDEs), such as the tanh function method[l,2], Jacobian elliptic function method[3], the homotopy perturbation method[4-7], and the variational iter”
• The use of He's variational iteration method for solving the telegraph and fractional telegraph equations (2011, methodology): “The method is used in several well-known problems successfully such as delay differential equations [18], differential equations with fractional derivatives [19–21], autonomous differential equations [22], Helmholtz equations [23], Burgers and coupled Burgers equations [24], non-linear wave and diff”
• Variational iteration method for fractional heat- and wave-like equations (2009, unknown): “Following the above idea, Draganescu [16], Momani and Odibat [17] [18] [19] [20] [21] [22] [23] applied VIM to more complex fractional differential equations, showing the effectiveness and accuracy of the method.”