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Volume 3, Issue 4, August 2014, Page: 130-136
Generalized Difference Formula for a Nonlinear Equation
Hamideh Eskandari, Department of Mathematics, Payame Noor University, I. R. Iran
Received: Jul. 12, 2014;       Accepted: Jul. 22, 2014;       Published: Jul. 30, 2014
DOI: 10.11648/j.acm.20140304.14      View  3320      Downloads  210
Abstract
In this paper, a new iteration scheme is proposed to solve the roots of a nonlinear equation. It is the purpose of this paper to show that, although the new iteration method seems to be of high convergence, the results are promising in that it requires more computation work and even be divergent. In here, we use iteration method that applied derivatives of the first order and the second order; we substitute difference formulas in iteration formulas. This method cause that our iteration method have not any derivative formulas.
Keywords
Newton Method, Hybrid Method, Halley Iteration, Steffenson Method
To cite this article
Hamideh Eskandari, Generalized Difference Formula for a Nonlinear Equation, Applied and Computational Mathematics. Vol. 3, No. 4, 2014, pp. 130-136. doi: 10.11648/j.acm.20140304.14
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