HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

By Ji-Huan He. 2006

1,199 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/0b079d53d3f357653daeb84125d84dd8425081b1

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. Mehdi Dehghan
2. Syed Tauseef Mohyud-Din
3. Fatemeh Shakeri
4. Muhammad Aslam Noor
5. Hossein Aminikhah
6. A. Sadighi
7. A. Yıldırım
8. Jafar Biazar

In Modeling and Simulation

1. Mehdi Dehghan
2. A. Yıldırım
3. D. Domiri Ganji
4. Jagdev Singh
5. Devendra Kumar
6. Syed Tauseef Mohyud-Din
7. Hossein Aminikhah
8. Ji-Huan He

In Numerical Analysis

1. A. Yıldırım
2. Mehdi Dehghan
3. Syed Tauseef Mohyud-Din
4. Jagdev Singh
5. Devendra Kumar
6. Muhammad Aslam Noor
7. Fatemeh Shakeri
8. A. Sadighi

Citations in the corpus

• A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity (2011, methodology): “The homotopy perturbation method proposed by He [4,5] is also applicable to nonlinear boundary value problems such as the present one.”
• The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs (2012, methodology): “Homotopy method was further developed and improved by He and applied to nonlinear oscillators with discontinuities [7], nonlinear wave equations [8], and boundary value problem [9].”
• An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate (2009, background): “It is easy to observe that the so-called Homotopy Perturbation Method (HPM) proposed by He [4,5] is only a special case of Eq.”
• Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method (2015, methodology): “The homotopy perturbation method (HPM), first proposed by He [9–15] for solving various linear and nonlinear initial and boundary value problems.”
• Analytical solution of wave system in Rn with coupling controllers (2011, methodology): “The HPM was first proposed by the Chinese mathematician Ji-Huan He ( He, 1999, 2000, 2003, 2006a”
• Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “He [25-33] developed the homotopy perturbation method (HPM) by merging the standard homotopy and perturbation for solving various physical problems.”