Journal of Mathematics

Research Article

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

Table 5

A comparison table for the rate of convergence of iterative methods for Example 2.
Iter.VatanThakur-NewMM
1(0.500000, 0.800000)(0.500000, 0.800000)(0.500000, 0.800000)(0.500000, 0.800000)
2(0.758961, 0.734316)(0.683455, 0.752848)(0.758026, 0.734260)(0.691844, 0.750366)
3(0.737514, 0.739464)(0.726326, 0.742215)(0.737582, 0.739468)(0.730107, 0.741200)
4(0.739210, 0.739055)(0.736173, 0.739798)(0.739205, 0.739055)(0.737394, 0.739482)
5(0.739075, 0.739088)(0.738422, 0.739248)(0.739076, 0.739088)(0.738767, 0.739160)
6(0.739086, 0.739085)(0.738934, 0.739122)(0.739086, 0.739085)(0.739025, 0.739099)
7(0.739085, 0.739085)(0.739051, 0.739094)(0.739085, 0.739085)(0.739074, 0.739088)
8(0.739085, 0.739085)(0.739077, 0.739087)(0.739085, 0.739085)(0.739083, 0.739086)
9(0.739085, 0.739085)(0.739083, 0.739086)(0.739085, 0.739085)(0.739085, 0.739085)
10(0.739085, 0.739085)(0.739085, 0.739085)(0.739085, 0.739085)(0.739085, 0.739085)