Journal of Mathematics

Research Article

Approximating Fixed Points and the Solution of a Nonlinear Fractional Difference Equation via an Iterative Method

Table 4

A comparison table for the rate of convergence of iterative methods for Example 2.
Iter.NewSPicard-S
1(0.500000, 0.800000)(0.500000, 0.800000)(0.500000, 0.800000)
2(0.728448, 0.742483)(0.817381, 0.718359)(0.684134, 0.752887)
3(0.738520, 0.739267)(0.712404, 0.746080)(0.726516, 0.742226)
⋮⋮⋮⋮
6(0.739085, 0.739085)(0.740115,0.738814)(0.738936, 0.739122)
⋮⋮⋮⋮
10(0.739085, 0.739085)(0.739099, 0.739082)(0.739085, 0.739085)
11(0.739085, 0.739085)(0.739081, 0.739086)(0.739085, 0.739085)
12(0.739085, 0.739085)(0.739087, 0.739085)(0.739085, 0.739085)
13(0.739085, 0.739085)(0.739085, 0.739085)(0.739085, 0.739085)