THE APPLICATION OF HOMOTOPY ANALYSIS METHOD TO NONLINEAR EQUATIONS ARISING IN HEAT TRANSFER

By Saeid Abbasbandy. 2006

735 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4b18790dd77ae05fb146be4565c98d3977270927

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. Shijun Liao
2. Tasawar Hayat
3. Mohammad Mehdi Rashidi
4. Saeid Abbasbandy
5. Muhammad Sajid
6. Y. Tan
7. Shijun Liao
8. M. Noorani

In Modeling and Simulation

1. Shijun Liao
2. Saeid Abbasbandy
3. Tasawar Hayat
4. Mohammad Mehdi Rashidi
5. Y. Tan
6. Shijun Liao
7. Muhammad Sajid
8. M. Noorani

In Numerical Analysis

1. Shijun Liao
2. Mohammad Mehdi Rashidi
3. Tasawar Hayat
4. Muhammad Sajid
5. Saeid Abbasbandy
6. Zhao Niu
7. Chun Wang
8. Y. Tan

Citations in the corpus

• Notes on the homotopy analysis method: Some definitions and theorems (2009, methodology): “For details, please refer to Abbasbandy [44].”
• A General Approach to Obtain Series Solutions of Nonlinear Differential Equations (2007, methodology): “The homotopy analysis method has been successfully applied to many nonlinear problems in science and engineering, such as the similarity boundary-layer flows [27, 37‐39], nonlinear heat transfer [40, 33 , 35], nonlinear evaluation equations [41], nonlinear waves [34], viscous flows of non-Newtonian”
• Soliton solutions for the fifth-order KdV equation with the homotopy analysis method (2007, background): “where is a nonzero auxiliary parameter, p ∈ [0, 1 ] is an embedding parameter, and the subscript denotes derivative with respect to η, respectively.”
• Flow and heat transfer analysis of Williamson nanofluid (2014, methodology): “2012; Kelson and Farrell 2001; Kumaran and Ramanaiah 1996; Ali 1995). Nadeem et al. (2013) were the first ones who developed the two-dimensional boundary layer equations for the flow of Williamson fluid past a stretching sheet.”
• An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method (2014, background): “, 2009a), two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls (Dinarvand and Rashidi, 2010), the nonlinear equations arising in heat transfer (Abbasbandy, 2006), linear and nonlinear fractional partial differential equations (Dehghan et al.”
• Approximate Analytical Solution to Time-Fractional Damped Burger and Cahn-Allen Equations (2013, methodology): “3 HAM Solutions of the Time-Fractional Cahn-Allen Equation We consider the fractional Cahn-Allen equation Dα t u−uxx +u 3−u = 0 (14) with the initial condition”