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Table 3 Numerical results with error analysis for Example 2

From: Numerical solution of linear integral equations system using the Bernstein collocation method

t= 1 2 r Exact solution Approximate solution Error
F 1 ( t ) F 2 ( t ) F 1 , 4 ( t ) F 2 , 4 ( t ) e 1 , 4 ( t ) e 2 , 4 ( t )
r = 1 0.4794 1.6487 0.4795 1.6488 0.0001 0.0001
r = 2 0.2474 1.2840 0.2472 1.2825 0.0002 0.0016
r = 3 0.1247 1.1331 0.1244 1.1315 0.0003 0.0016
r = 4 0.0625 1.0645 0.0622 1.0634 0.0002 0.0011
r = 5 0.0312 1.0317 0.0311 1.0311 0.0001 0.0006
r = 6 0.0156 1.0157 0.0156 1.0154 0.0001 0.0003
r = 7 0.0078 1.0078 0.0078 1.0077 0.0001 0.0002
r = 8 0.0039 1.0039 0.0039 1.0038 0.0001 0.0001
r = 9 0.0020 1.0020 0.0019 1.0019 0.0001 0.0001