Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations

By Muhammad Sajid, Tasawar Hayat. 2008

142 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/445312c35a8e6e188e39d4c4b1ec59d579b6b3c4

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. Mehdi Dehghan
2. Abbas Saadatmandi
3. Jalil Manafian
4. Shijun Liao
5. Songxin Liang
6. David J. Jeffrey
7. Mohammad Mehdi Rashidi
8. Tasawar Hayat

In Modeling and Simulation

1. Mehdi Dehghan
2. Jalil Manafian
3. Abbas Saadatmandi
4. Songxin Liang
5. David J. Jeffrey
6. Shijun Liao
7. Ali H. Bhrawy
8. Mehrdad Lakestani

In Numerical Analysis

1. Mehdi Dehghan
2. Abbas Saadatmandi
3. Jalil Manafian
4. Songxin Liang
5. David J. Jeffrey
6. Shijun Liao
7. Mehrdad Lakestani
8. Ali H. Bhrawy

Citations in the corpus

• Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation (2009, background): “Therefore, the HPM solution is indeed a special case of the HAM solution when �h ¼� 1. This fact has been pointed out by many researchers, such as Abbasbandy [2], Liao et al. [12], Bataineh et al. [14], Van Gorder et al. [15], Hayat and Sajid [16, 17 ], and Song et al. [18].”
• Homotopy Analysis Method in Nonlinear Differential Equations (2012, methodology): “…and Hayat (2008) proved that the so-called “homotopy perturbation method” (He, 1998, 1999) proposed in 1998 is exactly the same as the early HAM (Liao, 1992) developed by Liao in 1992, and therefore the “homotopy perturbation method” contains “nothing new except its name” (Sajid and Hayat, 2008).”
• Solving nonlinear fractional partial differential equations using the homotopy analysis method (2010, background): “The comparison between HAM and HPM can be found in [71,72].”