## 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,
New iterative methods for solving nonlinear equation by using homotopy perturbation method
β Scribed by Muhammad Aslam Noor; Waseem Asghar Khan
- Book ID
- 119186968
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 756 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
## a b s t r a c t In this paper, three new families of eighth-order iterative methods for solving simple roots of nonlinear equations are developed by using weight function methods. Per iteration these iterative methods require three evaluations of the function and one evaluation of the first der
This paper applies the homotopy perturbation method proposed by Ji-Huan He, to obtain approximate analytic solutions of hyperbolic partial differential equations. The procedure of the method is systematically illustrated. To give an extensive account of the method some examples are provided. The re