Bezier Curves for Solving Fredholm Integral Equations of the Second Kind

Table 1

Exact and estimated values of 𝑥(𝑡) for Example 2.

𝑡	Analytic 𝑥(𝑡)	Presented method	Errors of presented method
0.125	0.235566071312766	0.235569180133636	3.108820870×10^−6
0.250	0.446287102628420	0.446276196803712	1.0905824708×10^−5
0.375	0.636907462237070	0.636874894051300	3.2568185770×10^−5
0.500	0.810930216216328	0.81093021615625	6.0078×10^−11
0.625	0.971015631563402	0.971084086456756	6.8454893354×10^−5
0.750	1.11923157587085	1.11932128616895	8.971029810×10^−5
0.875	1.25721731884475	1.25723533320645	1.801436170×10^−5
1.000	1.38629436111989	1.38629436100000	1.1989×10^−10