Beyond Adomian polynomials: He polynomials

By Asghar Ghorbani. 2009

336 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ed3b6d58515b71d0ffa5913d4df9536c4281bb31

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. Syed Tauseef Mohyud-Din
2. Muhammad Asif Gondal,
3. Muhammad Aslam Noor
4. Majid Khan
5. Ji-Huan He
6. G. Domairry
7. Mahmoud Bayat
8. I. Pakar

In Modeling and Simulation

1. Syed Tauseef Mohyud-Din
2. Muhammad Aslam Noor
3. Majid Khan
4. Muhammad Asif Gondal,
5. Ji-Huan He
6. Jagdev Singh
7. Devendra Kumar
8. M. Akbar

In Numerical Analysis

1. Syed Tauseef Mohyud-Din
2. Muhammad Aslam Noor
3. Majid Khan
4. Muhammad Asif Gondal,
5. Ji-Huan He
6. Khalida Inayat Noor
7. Jagdev Singh
8. Devendra Kumar

Citations in the corpus

• 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].”
• A Tutorial Review on Fractal Spacetime and Fractional Calculus (2014, positive): “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 Method for Nonlinear Exponential Boundary Layer Equation using Laplace Transformation, He's Polynomials and Pade Technology He's Polynomials and Pade Technology (2010, background): “where H m are the He's polynomials ([40]).”