On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach
By Robert A. Van Gorder, K. Vajravelu. 2009
165 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/a26d5b8040b918d18c3a9a18cc64dbf97001da8f
How researchers see this paper
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In Applied Mathematics
In Modeling and Simulation
- Shijun Liao
- Mohammad Mehdi Rashidi
- Mustafa Turkyilmazoglu
- Tasawar Hayat
- Saeid Abbasbandy
- Muhammad Sajid
- Navid Freidoonimehr
- Magdy A. El-Tawil
In Numerical Analysis
- Shijun Liao
- Mohammad Mehdi Rashidi
- Mustafa Turkyilmazoglu
- Tasawar Hayat
- Saeid Abbasbandy
- Zaid M. Odibat
- Muhammad Sajid
- A. Sami Bataineh
Citations in the corpus
- Homotopy Analysis Method in Nonlinear Differential Equations (2012, background): “Since the introduction of the convergence-control parameter (it is previously called h̄-parameter), it has been widely applied to obtain accurate approximations of many nonlinear problems (Abbasbandy, 2006; Hayat and Sajid, 2007; Liang and Jeffrey, 2009; Niu and Wang, 2010; Van Gorder and Vajravelu,”