An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method

By K. Yabushita, Mariko Yamashita, Kazuhiro Tsuboi. 2007

218 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/301896992072ac4b513574c9a0cc216fc85681d3

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. Mohammad Mehdi Rashidi
2. Tasawar Hayat
3. Shijun Liao
4. S. A. M. Pour
5. Saeid Abbasbandy
6. Navid Freidoonimehr
7. Chun Wang
8. Zhao Niu

In Modeling and Simulation

1. Shijun Liao
2. Mohammad Mehdi Rashidi
3. Tasawar Hayat
4. S. A. M. Pour
5. Chun Wang
6. Zhao Niu
7. Awatif A. Hendi
8. Muhammad Sajid

In Statistical and Nonlinear Physics

1. Shijun Liao
2. Tasawar Hayat
3. Mohammad Mehdi Rashidi
4. Zhao Niu
5. Chun Wang
6. Awatif A. Hendi

Citations in the corpus

• An optimal homotopy-analysis approach for strongly nonlinear differential equations (2010, methodology): “[37] applied the HAM to solve two coupled nonlinear ODEs, and suggested the so-called ‘‘optimization method ” to find out two optimal convergence-control parameters by means of the”
• A general approach to get series solution of non-similarity boundary-layer flows (2009, methodology): “Based on homotopy, which is a basic concept in topology, a analytic method, namely the homotopy analysis method (HAM) [38–42], is proposed and then widely applied to solve strongly non-linear problems in science, engineering and finance [43–56].”
• Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk (2011, methodology): “[30] applied the HAM to solve two coupled nonlinear ODEs, and suggested the so-called ‘‘optimization method ’’ to find out two optimal convergence-control parameters by means of the minimum of the square residual error integrated in the whole region having physical meanings.”
• Notes on the homotopy analysis method: Some definitions and theorems (2009, methodology): “Since Liao’s book [21] for the homotopy analysis method was published in 2003, more and more researchers have been successfully applying this method to various nonlinear problems in science and engineering, such as the viscous flows of non-Newtonian fluids [28–38], the KdV-type equations [39–43], no”
• A one-step optimal homotopy analysis method for nonlinear differential equations (2010, background): “In case of two coupled nonlinear equations (as seen in [10])”