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Zbl 1119.65032
Abbasbandy, S.; Tan, Y.; Liao, S.J.
Newton-homotopy analysis method for nonlinear equations. (English)
[J] Appl. Math. Comput. 188, No. 2, 1794-1800 (2007). ISSN 0096-3003

Summary: We present an efficient numerical algorithm for solving nonlinear algebraic equations based on Newton-Raphson method and homotopy analysis method. Also, we compare homotopy analysis method with Adomian's decomposition method and homotopy perturbation method. Some numerical illustrations are given to show the efficiency of the algorithm.

MSC 2000:: *65H05 Single nonlinear equations (numerical methods)
65H20 Global methods, including homotopy approaches

Keywords: Newton-Raphson method; homotopy analysis method; Adomian's decomposition method; homotopy perturbation method; numerical examples

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Zentralblatt MATH Berlin [Germany]