Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

Table 3

Double-hump situation: comparison of solutions by the Haar wavelet-quasilinearization technique 𝑦_HAAR at 5th iteration and level of resolutions 𝐽=9 with numerical methods [13] and numerical solution based on the fourth-order Runge-Kutta.

𝛼=2
5th iteration				𝐽=9
𝑥	𝑦RK	𝑦VIM [13]	𝑦HPM [13]	𝑦HAAR	Absolute Error
0.1	1.00250	1.0025	1.0025	1.00250	2.5e − 9
0.2	1.01001	1.01001	1.01001	1.01001	4.3e − 11
0.5	1.06301	1.063	1.06296	1.06301	4.3e − 8
0.75	1.14347	1.14346	1.14209	1.14347	9.8e − 8
1.0	1.26039	1.26035	1.25055	1.26039	3.9e − 7