SEVERAL-STEP TO OBTAIN DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

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MIRZAEI FARSHID; HAMZEH AFSUN

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Journal: ADVANCES IN MATHEMATICAL MODELING Year:2013 | Volume:2 | Issue:2 Page(s): 21-31

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Information Journal Paper

Title

SEVERAL-STEP TO OBTAIN DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS

Author(s)

MIRZAEI FARSHID | HAMZEH AFSUN | Issue Writer Certificate

Keywords

NONLINEAR EQUATIONSQ3

NEWTON'S METHODQ3

ADOMIAN'S DECOMPOSITION METHODQ2

SEVERAL STEP METHODSQ3

DERIVATIVE FREE ITERATIVE METHODSQ3

Abstract

In this paper, we consider and analyze several-step iterative methods for solving NONLINEAR EQUATIONS. . This method is based on a direct Newtonian interpolation of the function and modified Adomian’s decomposition. We prove the important fact that methods obtained preserve their convergence order 3, without calculating any derivatives. Some numerical illustrations are given to show the efficiency of algorithms.

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APA: Copy

MIRZAEI, FARSHID, & HAMZEH, AFSUN. (2013). SEVERAL-STEP TO OBTAIN DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS. ADVANCES IN MATHEMATICAL MODELING, 2(2), 21-31. SID. https://sid.ir/paper/243883/en

Vancouver: Copy

MIRZAEI FARSHID, HAMZEH AFSUN. SEVERAL-STEP TO OBTAIN DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2013;2(2):21-31. Available from: https://sid.ir/paper/243883/en

IEEE: Copy

FARSHID MIRZAEI, and AFSUN HAMZEH, “SEVERAL-STEP TO OBTAIN DERIVATIVE-FREE ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS,” ADVANCES IN MATHEMATICAL MODELING, vol. 2, no. 2, pp. 21–31, 2013, [Online]. Available: https://sid.ir/paper/243883/en

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