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 |