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

Table 1

The absolute errors in the solution of fractional order Burgers-Fisher equation (35) using Haar wavelet method and three terms for second-order OHAM with convergence control parameters 𝐶₁=0 and 𝐶₂=−0.99999 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	5.4804𝐸−5	2.3476𝐸−5	7.8526𝐸−6	3.9181𝐸−5	4.229𝐸−11	8.408𝐸−10	3.403𝐸−9	8.7368𝐸−9
0.2	2.3553𝐸−5	7.7785𝐸−6	3.9108𝐸−5	7.0440𝐸−5	8.333𝐸−11	3.384𝐸−10	2.273𝐸−9	6.7268𝐸−9
0.3	7.0426𝐸−5	3.9091𝐸−5	7.7594𝐸−6	2.3578𝐸−5	2.089𝐸−10	1.642𝐸−10	1.142𝐸−9	4.7168𝐸−9
0.4	3.9169𝐸−5	7.8222𝐸−6	2.35157𝐸−5	5.4870𝐸−5	3.346𝐸−10	6.667𝐸−10	1.13𝐸−11	2.7068𝐸−9
0.5	7.9054𝐸−6	2.3463𝐸−5	5.48121𝐸−5	8.6199𝐸−6	4.602𝐸−10	1.1692𝐸−9	1.119𝐸−9	6.968𝐸−10
0.6	5.4768𝐸−5	2.3384𝐸−5	7.97308𝐸−6	3.9384𝐸−5	5.858𝐸−10	1.6717𝐸−9	2.249𝐸−9	1.3132𝐸−9
0.7	2.3489𝐸−5	7.9370𝐸−6	3.93167𝐸−5	7.0791𝐸−5	7.115𝐸−10	2.1742𝐸−9	3.381𝐸−9	3.3232𝐸−9
0.8	7.0337𝐸−5	3.8884𝐸−5	7.4894𝐸−6	2.4026𝐸−5	8.371𝐸−10	2.6767𝐸−9	4.511𝐸−9	5.3332𝐸−9
0.9	3.9031𝐸−5	7.5074𝐸−6	2.39232𝐸−5	5.5543𝐸−5	9.627𝐸−10	3.1792𝐸−9	5.642𝐸−9	7.3432𝐸−9
1.0	8.5852𝐸−5	5.4286𝐸−5	2.28326𝐸−5	8.8514𝐸−6	1.0883𝐸−9	3.6817𝐸−9	6.772𝐸−9	9.3532𝐸−9