Research Article

A New High-Order and Efficient Family of Iterative Techniques for Nonlinear Models

Table 6

CPU time taken by different methods on examples 1–5.

MethodsEx. 1Ex. 2Ex. 3Ex. 4Ex. 5Total timeAverage time

0.1410971.658164636.14856849.3706281418.2579892105.576446421.1152892
0.1090751.031724323.67264424.845433973.9521241323.611264.7222
0.5864111.590115634.60576049.7388921492.1518522178.67303435.734606
0.6464542.371663611.84910850.5854682207.4047402872.857433574.571866
1.2628731.570112376.072834148.6212061018.3858091545.912834309.1825668
0.2601830.609427251.44329225.600944779.6530911057.566937211.5133874
0.2831890.764537364.44651625.026559723.4187501113.939551222.7879102

Our scheme has the lowest average CPU time. Since, has convergence order fourth and others have sixth. Then, it is quite obvious that has lower convergence behavior as compared to other mentioned methods in terms of residual error, asymptotic error constant, etc. However, it is better than the others in regard of CPU timing. On the other hand, the second lowest average CPU time belongs to our sixth-order convergent scheme and also illustrates better convergence performance as compared to other mentioned methods.