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Zbl 1088.65043
Abbasbandy, S.
Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. (English)
[J] Appl. Math. Comput. 172, No. 1, 431-438 (2006). ISSN 0096-3003

Summary: We present some efficient numerical algorithms for solving nonlinear equations based on Newton-Raphson methods by using modified homotopy perturbation methods. The modified Adomian decomposition method presented by {\it S. Abbasbandy} [ibid. Appl. Math. Comput. 145, No. 2--3, 887--893 (2003; Zbl 1032.65048)], is compared with new algorithms. Some numerical illustrations are given to show the efficiency of algorithms.

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

Keywords: Newton-Raphson method; Adomian decomposition method; Nonlinear equations; Numerical examples; Comparison of methods; Algorithms

Citations: Zbl 1032.65048

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