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

Table 2

The absolute errors in the solution of generalized Fisher’s equation (49) using Haar wavelet method and five terms for fourth-order OHAM with convergence control parameters 𝐶₁=−0.637012, 𝐶₂=−0.151156, 𝐶₃=0.023432, and 𝐶₄=−0.0012788 at various points of 𝑥 and 𝑡 for 𝛼=1.

𝑥	|𝑢Exact−𝑢Haar|				|𝑢Exact−𝑢OHAM|
	𝑡=0.2	𝑡=0.4	𝑡=0.6	𝑡=0.8	𝑡=0.2	𝑡=0.4	𝑡=0.6	𝑡=0.8
0.1	0.0051104	0.0054849	0.0042629	0.0027556	6.67439𝐸−5	0.0040747	0.023752	0.0740709
0.2	0.0096957	0.0106181	0.0085377	0.0058225	1.99503𝐸−4	0.0023417	0.019345	0.0678136
0.3	0.013553	0.0151142	0.0125286	0.0089272	4.65337𝐸−4	4.3112𝐸−4	0.013810	0.0581267
0.4	0.0163976	0.018593	0.0158324	0.0116856	7.18406𝐸−4	0.0015578	0.007399	0.0453319
0.5	0.0179265	0.0206477	0.0180051	0.0136684	9.47663𝐸−4	0.0035178	4.521𝐸−4	0.030035
0.6	0.017924	0.0209528	0.0186691	0.0145062	0.0011444	0.0053436	0.006645	0.013062
0.7	0.0163414	0.01935	0.0175984	0.013973	0.0013029	0.0069445	0.013494	0.0046328
0.8	0.0133823	0.015939	0.0148102	0.0120755	0.0014207	0.0082540	0.019736	0.0220718
0.9	0.0095361	0.0111158	0.0106057	0.0090918	0.0014982	0.009231	0.025078	0.0383517
1.0	0.0055837	0.0055837	0.0055837	0.0055837	0.0015382	0.0098632	0.029315	0.0527218