Research Article

Eighth-Order Iterative Methods without Derivatives for Solving Nonlinear Equations

Table 3

COC of various iterative methods.

FunctionsK-TLiu1Liu2RTSKK

𝑓 1 ( 𝑥 ) , 𝑥 0 = 1 . 9 7.51467.56027.55937.5078
𝑓 2 ( 𝑥 ) , 𝑥 0 = 1 . 5 8.00217.97078.00008.00267.8899
𝑓 3 ( 𝑥 ) , 𝑥 0 = 1 . 6 8.00008.00008.00008.00007.9847
𝑓 4 ( 𝑥 ) , 𝑥 0 = 0 . 1 2 5 12.00011.00010.00011.0008.0001
𝑓 5 ( 𝑥 ) , 𝑥 0 = 4 . 4 8.00008.00008.00008.00008.0000
𝑓 6 ( 𝑥 ) , 𝑥 0 = 3 . 1 7.73847.58377.56947.4350
𝑓 7 ( 𝑥 ) , 𝑥 0 = 0 . 7 5 8.00008.00008.00008.00007.9889
𝑓 8 ( 𝑥 ) , 𝑥 0 = 0 . 5 10.97310.97710.97010.96710.994
𝑓 9 ( 𝑥 ) , 𝑥 0 = 0 . 5 8.00008.00008.00008.00007.9845
𝑓 1 0 ( 𝑥 ) , 𝑥 0 = 2 . 5 8.00008.00008.00008.00008.0000