THE HOMOTOPY ANALYSIS METHOD TO SOLVE THE BURGERS–HUXLEY EQUATION

By Ahmad Molabahrami, F. Khani. 2009

171 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2788f0316547d8d5b5a40353d937d6a1f234cd64

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Magdy A. El-Tawil
2. A. Sami Bataineh
3. Zaid M. Odibat
4. Mehmet Giyas Sakar
5. Fevzi Erdogan
6. Hany N. Hassan
7. Shijun Liao
8. Mehdi Dehghan

In Numerical Analysis

1. A. Sami Bataineh
2. Magdy A. El-Tawil
3. Zaid M. Odibat
4. Mehmet Giyas Sakar
5. Fevzi Erdogan
6. Hany N. Hassan
7. Shijun Liao
8. Shaher Momani

In Statistical and Nonlinear Physics

1. A. Sami Bataineh
2. Magdy A. El-Tawil
3. Fevzi Erdogan
4. Zaid M. Odibat
5. Hany N. Hassan
6. Mehmet Giyas Sakar
7. Shijun Liao
8. Mehrdad Lakestani

Citations in the corpus

• An optimal homotopy-analysis approach for strongly nonlinear differential equations (2010, methodology): “The HAM has been widely applied to solve different types of nonlinear problems in science, finance and engineering [37,32,23,33,38–43,34,44– 48,35,36,49,50].”
• An efficient analytic approach for solving two‐point nonlinear boundary value problems by homotopy analysis method (2011, methodology): “In recent years, this method has been successfully employed to solve many types of nonlinear problems in science and engineering such as the viscous flows of non-Newtonian fluids [3--13], the KdV-type equations [14--18], nonlinear heat transfer [19--21], nonlinear water waves [22], groundwater flows”
• Homotopy Analysis Method in Nonlinear Differential Equations (2012, methodology): “For example, some mathematical theorems related to the equations for high-order approximations and the so-called homotopy-derivatives were proved (Liao, 2009a; Molabahrami and Khani, 2009; Turkyilmazoglu, 2010a, 2011d).”
• An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials (2015, methodology): “For more details about the applications of the method, the reader is advised to consult the research works presented in [7–36] or the references therein.”
• The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method (2013, methodology): “HAM has been successfully applied to solve many types of nonlinear problems in science and engineering by many others [24–28].”
• Notes on the homotopy analysis method: Some definitions and theorems (2009, methodology): “For details, please refer to Molabahrami and Khani [54].”