SEVENTH-ORDER ITERATIVE ALGORITHM FREE FROM SECOND DERIVATIVE FOR SOLVING ALGEBRAIC NONLINEAR EQUATIONS

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FARDI M.; GHASEMI M.; KAZEMI E.; EZZATI R.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:1 Page(s): 25-29

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Title

SEVENTH-ORDER ITERATIVE ALGORITHM FREE FROM SECOND DERIVATIVE FOR SOLVING ALGEBRAIC NONLINEAR EQUATIONS

Author(s)

FARDI M. | GHASEMI M. | KAZEMI E. | EZZATI R. | Issue Writer Certificate

Keywords

HOMOTOPY ANALYSIS METHODQ2

ITERATIVE ALGORITHMQ2

NONLINEAR EQUATIONQ2

Abstract

In this paper, we introduce an ITERATIVE ALGORITHM free from second derivative for solving algebraic NONLINEAR EQUATIONs. The analysis of convergence shows that this ITERATIVE ALGORITHM has seventh-order convergence. Per iteration of the new algorithm requires three evaluations of the function and two evaluation of its first derivative. Therefore this algorithm has the efficiency index which equals to 1.477. The results obtained using the algorithm presented here show that the ITERATIVE ALGORITHM is very effective and convenient for the algebraic NONLINEAR EQUATIONs.

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APA: Copy

FARDI, M., GHASEMI, M., KAZEMI, E., & EZZATI, R.. (2013). SEVENTH-ORDER ITERATIVE ALGORITHM FREE FROM SECOND DERIVATIVE FOR SOLVING ALGEBRAIC NONLINEAR EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(1), 25-29. SID. https://sid.ir/paper/231645/en

Vancouver: Copy

FARDI M., GHASEMI M., KAZEMI E., EZZATI R.. SEVENTH-ORDER ITERATIVE ALGORITHM FREE FROM SECOND DERIVATIVE FOR SOLVING ALGEBRAIC NONLINEAR EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(1):25-29. Available from: https://sid.ir/paper/231645/en

IEEE: Copy

M. FARDI, M. GHASEMI, E. KAZEMI, and R. EZZATI, “SEVENTH-ORDER ITERATIVE ALGORITHM FREE FROM SECOND DERIVATIVE FOR SOLVING ALGEBRAIC NONLINEAR EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 1, pp. 25–29, 2013, [Online]. Available: https://sid.ir/paper/231645/en

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