Homotopy perturbation transform method for nonlinear equations using He’s polynomials
✍ Scribed by Yasir Khan; Qingbiao Wu
- Book ID
- 108078591
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 224 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0898-1221
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In this paper, we conduct a comparative study among He's homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He's homotopy perturbation method can extremely minimiz
## 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,