Generalized Abel Inversion Using Extended Hat Functions Operational Matrix

Table 2

The absolute errors 𝐸_𝑘(𝑟), at different nodal points 𝑟, for 𝑛=1000, in Example 6.

𝑟	0.0	0.2	0.4	0.6	0.8	1.0
𝐸0(𝑟)	0	7.494×10^−16	1.2212×10^−15	1.8874×10^−15	8.1046×10^−15	1.5543×10^−15
𝐸1(𝑟)	1.132×10^−13	2.4591×10^−14	8.3822×10^−15	1.7764×10^−14	2.931×10^−14	3.5194×10^−14
𝐸2(𝑟)	0.011106	0.0064263	0.0025148	0.01039	0.00029049	0.00014606