Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method. (English) Zbl 1088.65043

Abbasbandy, S.

Appl. Math. Comput. 172, No. 1, 431-438 (2006).

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:

65H05	Numerical computation of solutions to single equations
65H20	Global methods, including homotopy approaches to the numerical solution of nonlinear equations

Keywords:

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

Citations:

Zbl 1032.65048

References:

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