"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).Β Unlike perturbation methods, the HAM has nothing to do with small/large phy
Optimal homotopy analysis method for nonlinear differential equations in the boundary layer
β Scribed by Tao Fan, Xiangcheng You
- Book ID
- 118807639
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 360 KB
- Volume
- 62
- Category
- Article
- ISSN
- 1017-1398
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, a one-step optimal approach is proposed to improve the computational efficiency of the homotopy analysis method (HAM) for nonlinear problems. A generalized homotopy equation is first expressed by means of a unknown embedding function in Taylor series, whose coefficient is then determi
In this paper, an optimal homotopy-analysis approach is described by means of the nonlinear Blasius equation as an example. This optimal approach contains at most three convergence-control parameters and is computationally rather efficient. A new kind of averaged residual error is defined, which can