𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximate analytical solutions of systems of PDEs by homotopy analysis method

✍ Scribed by A. Sami Bataineh; M.S.M. Noorani; I. Hashim


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
699 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Analytical approximate solutions of syst
✍ Mohammad Zurigat; Shaher Momani; Ahmad Alawneh πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 697 KB

In this paper, we develop a framework to obtain approximate solutions to systems of algebraic-differential equations of fractional order by employing the homotopy analysis method (HAM). The study highlights the efficiency of the method and its dependence on the auxiliary parameter h. Numerical examp

Solving systems of ODEs by homotopy anal
✍ A. Sami Bataineh; M.S.M. Noorani; I. Hashim πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 231 KB

This paper applies the homotopy analysis method (HAM) to systems of ordinary differential equations (ODEs). The systems investigated include stiff systems, the chaotic Genesio system and the matrix Riccati-type differential equation. The HAM gives approximate analytical solutions which are of compar

Approximate solutions for the Burger and
✍ M.M. Rashidi; G. Domairry; S. Dinarvand πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 599 KB

In this work, the homotopy analysis method (HAM), one of the most effective method, is implemented for finding approximate solutions of the Burger and regularized long wave (RLW) equations. Comparisons are made between the results of the proposed method and homotopy perturbation method (HPM). It ill