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The maximum error obtained is 40 50 %.
The maximum error obtained was 2.3%.
The maximum error obtained for the 5th percentile and the 95th percentile are 0.101 and 0.067, respectively.
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However, the maximum errors obtained using direct WC using Alpert bases (shown in square brackets) are still within acceptable ranges as identified by a domain expert.
In Tables 1-2, the maximum errors obtained are compared with those of Hermite formula (HF) [14] for different values of γ to demonstrate that our scheme is more accurate and gives accuracy of 10−7.
For (J=3), the maximum absolute error obtained by [23] is (1.3730E-004), where as in our research paper maximum absolute error is (5.3267E-005).
The maximum relative error obtained for scattering coefficients is 22% at 600 nm while the maximum relative error obtained for the absorption coefficients is 21% at 700 nm.
The maximum absolute error obtained by the proposed method for various choices of N, α and β, where γ = 0.1, is given in Figure 7.
In Table 1, the numerical results based on maximum absolute errors obtained using the proposed algorithm, for real ((M_{1})) and imaginary ((M_{2})) parts of the solution are listed at various values of (N, M).
The maximum relative errors obtained in the range 580 nm to 630 nm are 2% for scattering, 3% for absorption, and 1% for effective attenuation when using absolute data while the maximum errors are 9% for scattering, 12% for absorption, and 4% for effective attenuation when using relative data.
Repeat steps 1, 2, and 3 until the error obtained using (1) is smaller than a set tolerance level or the procedure reaches its maximum iteration. .
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