On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence

Author:

Sayevand K.,Jafari H.ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation

Reference20 articles.

1. The sufficient condition for the differentiability of functions of several variables;Pingya;Math. Mag.,1998

2. A new iteration method based on Newton’s method for solving a system of nonlinear equations;Sayevand;Nonlinear Sci. Lett. A,2013

3. A new iteration method for solving algebraic equations;He;Appl. Math. Comput.,2003

4. Homotopy perturbation method with an auxiliary term;He;Abstr. Appl. Anal.,2012

5. Extended Newton’s method for a system of nonlinear equations by modified Adomian decomposition method;Abbasbandy;Appl. Math. Comput.,2005

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