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
Approximate analytical solutions of systems of PDEs by homotopy analysis method
β 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
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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
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