He's Homotopy Perturbation Method for Calculating Adomian Polynomials
By Asghar Ghorbani, Jafar Saberi-Nadjafi. 2007
231 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/8ea4941a295cb2c886a2c567a03a6805b4ce78a3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Jagdev Singh
- Devendra Kumar
- Syed Tauseef Mohyud-Din
- Yasir Khan
- Qingbiao Wu
- Muhammad Aslam Noor
- Sunil Kumar
- Khalida Inayat Noor
In Modeling and Simulation
- Jagdev Singh
- Devendra Kumar
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
- Sunil Kumar
- Yasir Khan
- Qingbiao Wu
- Dumitru Băleanu
In Numerical Analysis
- Jagdev Singh
- Devendra Kumar
- Syed Tauseef Mohyud-Din
- Muhammad Aslam Noor
- Sunil Kumar
- Yasir Khan
- Qingbiao Wu
- Dumitru Băleanu
Citations in the corpus
- A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, unknown): “L { Dαu+ Ru− q} + pL {Nu} = 0 (103) In order to make the solution process simple, He’s polynomials are included [107, 108]”
- Homotopy perturbation transform method for nonlinear equations using He's polynomials (2011, methodology): “The use of He’s polynomials in the nonlinear term was first introduced by Ghorbani [47,48].”
- Variational Iteration Method for Solving Higher-order Nonlinear Boundary Value Problems Using He's Polynomials (2008, methodology): “It is well known that series (8) is convergent for most of the cases and also the rate of convergence is dependent on L (u); see [9-15, 20, 26-31].”
- Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “It is worth mentioning that the proposed method is an elegant combination of the sumudu transformation, the homotopy perturbation method and He’s polynomials and is mainly due to Ghorbani [36, 37].”