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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

\(3.63\times 10^{-221}\)

\(3.76\times 10^{-258}\)

\(1.89\times 10^{-182}\)

\(1.45\times 10^{-525}\)