Some iterative methods for solving nonlinear equations using homotopy perturbation method. (English) Zbl 1182.65079

Noor, Muhammad Aslam

Int. J. Comput. Math. 87, No. 1, 141-149 (2010).

Summary: We use a new modified homotopy perturbation method to suggest and analyse a class of iterative methods for solving nonlinear equations. This new modification of the homotopy method is quite flexible. These new methods include the two-step Newton method as a special case. We show that these new methods are of fourth-order convergent method. Several examples are given to illustrate the efficiency and robustness of these methods.

MSC:

65H05

Numerical computation of solutions to single equations

Keywords:

iterative method; convergence; numerical examples; homotopy perturbation method; two-step Newton method

References:

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