Compact Finite Difference Scheme Combined with Richardson Extrapolation for Fisher’s Equation

Table 1

Comparison between pointwise errors of Example 1 for and by the modified Keller Box method [26] and the present method.

Method
Present method	0.1	2.7048e − 05	7.8826e − 06	4.6663e − 06	4.7429e − 06
	0.2	1.9913e − 06	2.2025e − 06	4.5380e − 06	6.2687e − 06
	0.3	6.5613e − 06	6.7781e − 07	4.8015e − 06	6.9826e − 06
	0.4	7.8298e − 06	8.4649e − 07	5.1902e − 06	7.3619e − 06
	0.5	7.2517e − 06	1.3141e − 06	5.4721e − 06	7.5199e − 06
	0.6	6.5162e − 06	1.6795e − 06	5.5846e − 06	7.4891e − 06
	0.7	6.1483e − 06	1.8155e − 06	5.4960e − 06	7.2603e − 06
	0.8	6.9525e − 06	1.4235e − 06	4.9992e − 06	6.6302e − 06
	0.9	9.8358e − 06	1.3214e − 07	3.3749e − 06	4.7781e − 06
Method in [26]	0.1	3.7e − 05	2.9e − 05	2.7e − 05	2.6e − 05
	0.2	4.6e − 05	3.5e − 05	3.3e − 05	3.2e − 05
	0.3	4.4e − 05	3.5e − 05	2.6e − 05	2.6e − 05
	0.4	3.6e − 05	2.8e − 05	2.6e − 05	2.6e − 05
	0.5	3.7e − 05	3.1e − 05	2.9e − 05	2.8e − 05
	0.6	3.4e − 05	2.8e − 05	2.6e − 05	2.5e − 05
	0.7	3.1e − 05	2.5e − 05	2.4e − 05	2.3e − 05
	0.8	2.6e − 05	2.1e − 05	2.0e − 05	1.9e − 05
	0.9	1.8e − 05	1.5e − 05	1.4e − 05	1.3e − 05