Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation
By Moustafa El-Shahed. 2005
301 citations recorded by the source corpus.
Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/706bc30c168fde45e3e4019c522c62651908ebe4
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
- Elyas Shivanian
- Saeid Abbasbandy
- M. Akbar
- Norhashidah Hj. Mohd. Ali
- Shijun Liao
- Hany N. Hassan
- Tasawar Hayat
- A. Sami Bataineh
In Modeling and Simulation
- Elyas Shivanian
- Saeid Abbasbandy
- M. Akbar
- Norhashidah Hj. Mohd. Ali
- Shijun Liao
- Hany N. Hassan
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
In Numerical Analysis
- Elyas Shivanian
- Saeid Abbasbandy
- M. Akbar
- Norhashidah Hj. Mohd. Ali
- Shijun Liao
- Y. Tan
- Shijun Liao
- Mohammad Mehdi Rashidi
Citations in the corpus
- New Solitary and Periodic Solutions of Nonlinear Evolution Equation by Exp-function Method (2012, methodology): “In solving NLEEs, they stablished many effective and influential methods, such as , the inverse scattering method [1], the Hirota’s bilinear method [2], the tanh-function method [3, 4], the Backlund transformation method [5], the F-expansion method [6-9], the Jacobian elliptic function method [10, 1”
- Explicit analytical solutions of the generalized Burger and Burger–Fisher equations by homotopy perturbation method (2009, unknown): “[22], to Volterra’s integrodifferential equation [23], to system of Fredholm integral equations [24].”
- Exp-function method for nonlinear wave equations (2006, unknown): “Recently many new approaches to nonlinear wave equations have been proposed, for example, tanh-function method [1–6], F-expansion method [7–9], Jacobian elliptic function method [10–12], variational iteration method [13,14], Adomian method [15–18], variational approach [19–21], and homotopy perturba”