Comments on “Homotopy Perturbation Method for Solving Reaction-Diffusion Equations”

Table 1

Errors in approximate solution for Example 3.1.

𝑥	𝑢appr=∑^9𝑘=0𝑢𝑘	𝑢appr=∑^3𝑘=0𝑢𝑘	Errorin𝑢^′′+𝑢^2=0	Errorin𝑢^′′+𝑢^2=0	Errorin𝑢^′′+𝑢^2=0 in [1]
	(𝑢0=𝑏)	(𝑢0=𝑎sin𝜋𝑥)	(𝑢0=𝑏)	(𝑢0=𝑎sin𝑥)
0.0	0	0.0	0.0	2.5665×10^−3	0.0
0.1	3.3009	3.2976	0.1145	2.5942×10^−2	5.0045
0.2	6.4712	6.4691	6.061×10^−3	9.8435×10^−2	8.4127
0.3	9.2123	9.2109	5.5852×10^−3	0.13682	3.1097
0.4	11.108	11.107	4.5057×10^−3	3.5474×10^−2	6.2372
0.5	11.79	11.788	0.00	5.4003×10^−2	10.76
0.6	11.108	11.107	4.5057×10^−3	3.5474×10^−2	6.2321
0.7	9.2123	9.2109	5.5852×10^−3	0.13682	3.1109
0.9	3.3009	3.2976	0.1145	2.5942×10^−2	5.0045