On Bernstein Polynomials Method to the System of Abel Integral Equations

Table 2

Numerical results for Example 3.

𝑠𝑖=0.1𝑖	Exact solution			Approximate solution
	𝜑1(𝑠𝑖)	𝜑2(𝑠𝑖)	𝜑3(𝑠𝑖)	𝜑1,3(𝑠𝑖)	𝜑2,3(𝑠𝑖)	𝜑3,3(𝑠𝑖)
𝑖=1	3.3000	0.1500	1.0488	3.3000	0.1500	1.0488
𝑖=2	3.6000	0.6000	1.0954	3.6000	0.6000	1.0951
𝑖=3	3.9000	1.3500	1.1402	3.9000	1.3500	1.1389
𝑖=4	4.2000	2.4000	1.1832	4.2000	2.4000	1.1810
𝑖=5	4.5000	3.7500	1.2247	4.5000	3.7500	1.2198
𝑖=6	4.8000	5.4000	1.2649	4.8000	5.4000	1.2590
𝑖=7	5.1000	7.3500	1.3038	5.1000	7.3500	1.2898
𝑖=8	5.4000	9.6000	1.3416	5.4000	9.6000	1.3310
𝑖=9	5.7000	12.150	1.3784	5.7000	12.150	1.3687
𝑖=10	6.0000	15.000	1.4142	6.0000	15.000	1.4050