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Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. (English) Zbl 1088.65043
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 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:
65H05Single nonlinear equations (numerical methods)
65H20Global numerical methods for nonlinear algebraic equations, including homotopy approaches