A5108063755- Fractional Differential Equations Solutions
- Nanofluid Flow and Heat Transfer
- Fluid Dynamics and Turbulent Flows
- Iterative Methods for Nonlinear Equations
- Ocean Waves and Remote Sensing
- Nonlinear Waves and Solitons
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Coastal and Marine Dynamics
- Quantum chaos and dynamical systems
- Differential Equations and Numerical Methods
- Rheology and Fluid Dynamics Studies
- Numerical methods for differential equations
- Computational Fluid Dynamics and Aerodynamics
- Astro and Planetary Science
- Nonlinear Photonic Systems
- Chaos control and synchronization
- Heat Transfer Mechanisms
- Stellar, planetary, and galactic studies
- Spacecraft Dynamics and Control
- Scientific Research and Discoveries
- Meteorological Phenomena and Simulations
- Nonlinear Dynamics and Pattern Formation
- Mathematical and Theoretical Analysis
- Model Reduction and Neural Networks
Shanghai Jiao Tong University
2016-2025
Shanghai Ocean University
2013-2025
State Key Laboratory of Ocean Engineering
2016-2025
New York University
2025
South China University of Technology
2007-2024
Jiangsu University of Science and Technology
2024
Cell Technology (China)
2023-2024
Qinghai University
2019-2023
State Key Laboratory of Plateau Ecology and Agriculture
2019-2022
Ministry of Education of the People's Republic of China
2014-2021
9R2. Beyond Perturbation: Introduction to the Homotopy Analysis Method. - Edited by Shijun Liao (Shanghai Jiao Tong University, Shanghai, China). Chapman and Hall/CRC Press, Boca Raton FL. 2004. 322 pp. ISBN 1-58488-407-X.Reviewed SA Sherif (Dept of Mech Aerospace Eng, Univ Florida, 232 MAE Bldg B, PO Box 116300, Gainesville FL 32611-6300).This book deals with a very interesting mathematical technique that is rather powerful. While perturbation methods work nicely for slightly nonlinear...
A powerful, easy-to-use analytic technique for nonlinear problems, the homotopy analysis method, is employed to give solutions of magnetohydrodynamic viscous flows non-Newtonian fluids over a stretching sheet. For so-called second-order and third-order power-law fluids, explicit are given by recursive formulas with constant coefficients. Also, real index magnetic field parameter in quite large range, an approach proposed. All our results agree well numerical ones. In particular, simple...
Based on homotopy, which is a basic concept in topology, general analytic method (namely the homotopy analysis method) proposed to obtain series solutions of nonlinear differential equations. Different from perturbation techniques, this approach independent small/large physical parameters. Besides, different all previous methods, it provides us with simple way adjust and control convergence solution series. Especially, great freedom replace equation order n into an infinite number linear...
We apply a new kind of analytic technique, namely the homotopy analysis method (HAM), to give an explicit, totally analytic, uniformly valid solution two-dimensional laminar viscous flow over semi-infinite flat plate governed by f ‴(η)+α (η) ″(η)+β[1− ′ 2 (η)]=0 under boundary conditions (0)= ′(0)=0, ′(+∞)=1. This is in whole region 0[les ]η<+∞. For Blasius' (1908) (α=1/2, β=0), this converges Howarth's (1938) numerical result and gives purely value ″(0)=0.332057. Falkner–Skan (1931)...
We apply a new analytic technique, namely the homotopy analysis method, to give an approximation of temperature distributions for laminar viscous flow over semi-infinite plate. An explicit solution is obtained in general cases and recurrence formulae corresponding constant coefficients are given. In plate distribution heat flux, first-order derivative on at 30th order The convergence regions these two greatly enlarged by Padé technique. They agree well with numerical results very large...