An optimal fourth-order second derivative free iterative method for nonlinear scientific equations
KUWAIT JOURNAL OF SCIENCE(2023)
Abstract
In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. We explore the convergence criteria of the proposed method and also ex-hibit its validity and efficiency by considering some test problems. We present both numerical as well as graphical comparisons. Further, the dynamical behavior of the proposed method is explored.
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Key words
Approximation scheme,iterative methods,nonlinear equations,order of convergence,poly-nomiography
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