Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations

Table 1

Single-well 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	𝑦HPM [13]	𝑦VIM [13]	𝑦HAAR	Absolute Error
0.2	0.9900451	0.99004	0.99004	0.9900451	3.1e − 8
0.4	0.9607026	0.96075	0.9607	0.9607024	1.5e − 7
0.6	0.9134154	0.91383	0.91341	0.9134150	3.5e − 7
0.8	0.8502496	0.85216	0.85025	0.8502491	5.8e − 7
1.0	0.773523	0.77973	0.77353	0.773522	8.0e − 7