Adomian's decomposition method applied to systems of nonlinear algebraic equations
✍ Scribed by Doğan Kaya; Salah M. El-Sayed
- Book ID
- 108395923
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 173 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## a b s t r a c t The Adomian's decomposition method and the homotopy perturbation method are two powerful methods which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. By theoretical analysis of the two methods, we show,
In this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution.