𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homotopy analysis method for heat radiation equations

✍ Scribed by S. Abbasbandy


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
238 KB
Volume
34
Category
Article
ISSN
0735-1933

No coin nor oath required. For personal study only.

✦ Synopsis


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 method (HPM). Here, homotopy analysis method is used to solve an unsteady nonlinear convective-radiative equation containing two small parameters of Ο΅ 1 and Ο΅ 2 . The homotopy analysis method contains the auxiliary parameter h Β―, which provides us with a simple way to adjust and control the convergence region of solution series.


πŸ“œ SIMILAR VOLUMES


Assessment of homotopy–perturbation and
✍ D.D. Ganji; A. Rajabi πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 171 KB

One of the newest analytical methods to solve the nonlinear heat transfer equations is using both homotopy and perturbation methods in equations. Here, homotopy-perturbation method is applied to solve heat transfer problems with high nonlinearity order. The origin of using this method is the difficu

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