Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

Table 1

Absolute error for 𝛼=1/2 and different values of 𝑀, 𝑁 for Example 6.2.

𝑥	𝑁=2, 𝑀=3	𝑁=2, 𝑀=5	𝑁=2, 𝑀=7
0.1	4.6746𝑒−003	1.5643𝑒−005	6.0606𝑒−007
0.2	8.3241𝑒−003	2.7623𝑒−005	1.5480𝑒−006
0.3	7.6758𝑒−004	3.6753𝑒−005	4.6970𝑒−006
0.4	1.3362𝑒−003	5.0337𝑒−005	2.2131𝑒−007
0.5	3.3485𝑒−003	4.0518𝑒−005	6.2563𝑒−007
0.6	1.6673𝑒−003	6.5000𝑒−006	2.6769𝑒−007
0.7	6.0563𝑒−004	4.2335𝑒−005	4.7123𝑒−007
0.8	6.7621𝑒−004	3.0421𝑒−005	4.8631𝑒−006
0.9	1.2309𝑒−003	3.6676𝑒−005	2.0707𝑒−006