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
The optimal homotopy-analysis method for Kawahara equation
β 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.
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
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
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