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Table 3 Comparison of results for Applications

From: Three-point iterative algorithm in the absence of the derivative for solving nonlinear equations and their basins of attraction

Applications m \(Error=|x_m -x_{m-1}|\)
Previous methods Presented algorithm \((\theta =1)\)
\(8^{th}PNPDM\) [27] \(8^{th}PKJ\) [28] \(8^{th}PJ\) [29] \(8^{th}BM\)
Application 1 4 \(8.39\times 10^{-56}\) \(4.24\times 10^{-116}\) \(5.68\times 10^{-65}\) \(3.43\times 10^{-252}\)
Application 2 3 \(3.71\times 10^{-75}\) \(3.69\times 10^{-75}\) \(1.12\times 10^{-75}\) \(9.65\times 10^{-129}\)
Application 3 3 \(2.08\times 10^{-82}\) \(2.69\times 10^{-77}\) \(2.13\times 10^{-92}\) \(1.54\times 10^{-103}\)
Application 4 4 \(3.63\times 10^{-221}\) \(3.76\times 10^{-258}\) \(1.89\times 10^{-182}\) \(1.45\times 10^{-525}\)