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Table 1 Numerical results with error analysis for Example 1

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 , 3 ( t ) F 2 , 3 ( t ) e 1 , 3 ( t ) e 2 , 3 ( t )
r = 1 1.6487 0.6667 1.6484 0.6658 0.0004 0.0009
r = 2 1.2840 0.5714 1.2845 0.5724 0.0004 0.0010
r = 3 1.1331 0.5333 1.1339 0.5350 0.0008 0.0016
r = 4 1.0645 0.5161 1.0650 0.5174 0.0005 0.0012
r = 5 1.0317 0.5079 1.0320 0.5087 0.0003 0.0008
r = 6 1.0157 0.5039 1.0159 0.5044 0.0001 0.0005
r = 7 1.0078 0.5020 1.0079 0.5023 0.0001 0.0003
r = 8 1.0039 0.5010 1.0039 0.5012 0.0000 0.0002
r = 9 1.0020 0.5005 1.0019 0.5007 0.0001 0.0002