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

Table 2 Numerical comparison between Bernoulli wavelet solution and exact solution of example 6.2 for different values of x.

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	0.0101	0.0012	− 0.0058
0.1	0.3415	0.4255	0.3902	0.3424
0.2	0.7179	0.7545	0.7226	0.7173
0.3	1.0921	1.1902	1.1150	1.0912
0.4	1.4188	1.5166	1.4555	1.4112
0.5	1.6487	1.7823	1.7251	1.7068
0.6	1.7329	1.7703	1.8085	1.7723
0.7	1.6292	1.5892	1.5662	1.6114
0.8	1.3081	1.2456	1.1158	1.3105
0.9	0.7601	0.8278	0.5226	0.6247
1	0	0.3636	− 0.2051	− 0.3368