𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The optimal homotopy-analysis method for Kawahara equation

✍ Scribed by Qi Wang


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
223 KB
Volume
12
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Comparison between homotopy analysis met
✍ M. Ghoreishi; A. I. B. MD. Ismail; A. K. Alomari πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 439 KB

This paper presents general framework for solving the nth-order integro-differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation. Furthermore, in OH

A one-step optimal homotopy analysis met
✍ Zhao Niu; Chun Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 327 KB

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

Homotopy analysis method for heat radiat
✍ S. Abbasbandy πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 238 KB

Here, the homotopy analysis method (HAM), one of the newest analytical methods which is powerful and easy-to-use, is applied to solve heat transfer problems with high nonlinearity order. Also, the results are compared with the perturbation and numerical Runge-Kutta methods and homotopy perturbation

An optimal homotopy-analysis approach fo
✍ Shijun Liao πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 398 KB

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