"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
Homotopy Analysis Method in Nonlinear Differential Equations || Relationship to Euler Transform
β Scribed by Liao, Shijun
- Book ID
- 120238726
- Publisher
- Springer Berlin Heidelberg
- Year
- 2012
- Weight
- 910 KB
- Category
- Article
- ISBN
- 3642251323
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new transform, namely the homotopy transform, is defined for the first time. Then, it is proved that the famous Euler transform is only a special case of the so-called homotopy transform which depends upon one non-zero auxiliary parameter h and two convergent series P ΓΎ1 kΒΌ1 a 1;k ΒΌ 1 and In the
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