Generalized Abel Inversion Using Extended Hat Functions Operational Matrix

Table 4

The absolute errors 𝐸_𝑘(𝑟), at different nodal points 𝑟, for 𝑛=1000, in Example 8.

𝑟	0.0	0.2	0.4	0.6	0.8	1.0
𝐸0(𝑟)	0	4.4409×10^−16	5.5511×10^−17	2.7200×10^−15	2.1649×10^−15	3.3888×10^−15
𝐸1(𝑟)	5.5359×10^−14	7.8271×10^−15	2.2093×10^−14	1.1768×10^−14	1.4433×10^−14	1.5344×10^−14
𝐸2(𝑟)	0.0042764	0.0018814	3.4439×10^−5	0.0014343	0.0024313	0.00018694