Generalized Abel Inversion Using Extended Hat Functions Operational Matrix

Table 1

Noise reduction ℎ(𝑟) for 𝑛=100 at different values of 𝛿,𝜏=0,𝛾=1/2.

𝑟	ℎ(𝑟) for 𝛿=0.01	ℎ(𝑟) for 𝛿=0.001	ℎ(𝑟) for 𝛿=0.0001
0	0.019718	0.0019718	0.00019718
0.1	0.0040696	0.00040696	0.000040696
0.2	0.0035401	0.00035401	0.000035401
0.3	0.0033118	0.00033118	0.000033118
0.4	0.0032047	0.00032047	0.000032047
0.5	0.0031726	0.00031726	0.000031726
0.6	0.0032047	0.00032047	0.000032047
0.7	0.0033118	0.00033118	0.000033118
0.8	0.0035401	0.00035401	0.000035401
0.9	0.0040696	0.00040696	0.000040696
1	0.019718	0.0019718	0.00019718