On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods

Table 6

The approximate solutions of generalized Fisher equation (49) using Haar wavelet method and five terms for fourth-order OHAM with convergence control parameters 𝐶₁=−0.649458, 𝐶₂=0.053658, 𝐶₃=−0.1822726, 𝐶4=0.0894301 at various points of 𝑥 and 𝑡 for 𝛼=0.75.

𝑥	𝑡=0.2		𝑡=0.4		𝑡=0.6		𝑡=0.8
	𝑢Haar	𝑢OHAM	𝑢Haar	𝑢OHAM	𝑢Haar	𝑢OHAM	𝑢Haar	𝑢OHAM
0.1	0.859185	0.899389	0.920547	0.931947	0.957952	0.927394	0.978665	0.902524
0.2	0.838644	0.888856	0.905313	0.930017	0.948042	0.930519	0.972681	0.905646
0.3	0.817612	0.877253	0.889588	0.927859	0.93764	0.934718	0.966206	0.91116
0.4	0.796431	0.864492	0.873714	0.92523	0.927088	0.939825	0.959581	0.919341
0.5	0.775484	0.850503	0.858074	0.921857	0.916772	0.945568	0.953191	0.930278
0.6	0.755093	0.835244	0.84299	0.917456	0.90701	0.951569	0.947357	0.943809
0.7	0.735424	0.818704	0.828628	0.911753	0.897971	0.957356	0.942244	0.959482
0.8	0.716399	0.800908	0.81491	0.904497	0.889575	0.962388	0.937776	0.976567
0.9	0.697656	0.781918	0.801474	0.895481	0.881463	0.966095	0.933591	0.994112
1.0	0.678526	0.761827	0.787651	0.884559	0.872963	0.967927	0.929017	1.01104