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Table 3 Numerical comparison between Bernoulli wavelet solution and exact solution of example 6.3 for different values of x.

From: Approximation of functions by Bernoulli wavelet and its applications in solution of Volterra integral equation of second kind

x Exact Sol\(^{n}\) Bernoulli wavelet Bernoulli wavelet Bernoulli wavelet
   Sol\(^{n}\) : k = 2, m = 2 Sol\(^{n}\) : k = 2, m = 3 Sol\(^{n}\) : k = 3, m = 3
0 0 − 0.01241 − 0.0042 0.0021
0.1 0.0100 0.0091 0.0052 0.0130
0.2 0.0400 0.0263 0.0290 0.0450
0.3 0.0900 0.0612 0.0699 0.0955
0.4 0.1600 0.1004 0.1400 0.1721
0.5 0.2500 0.1862 0.2096 0.2661
0.6 0.3600 0.2736 0.3006 0.3748
0.7 0.4900 0.3599 0.3911 0.5332
0.8 0.6400 0.4508 0.5010 0.6658
0.9 0.8100 0.5909 0.6436 0.8393
1 1 0.7542 0.7900 1.3390