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

Table 4

, , and errors and computational time for Example 2 at time with the space step-length .

Present method
Time step ()	error	error	error	CPU time (s)
T/52	3.5497e − 02	3.5232e − 03	1.5153e − 02	0.340
T/100	2.5420e − 02	1.7665e − 03	7.7685e − 03	0.443
T/200	1.7940e − 02	8.4546e − 04	3.8557e − 03	0.705
T/300	1.4662e − 02	5.4901e − 04	2.5648e − 03	0.958
T/400	1.2720e − 02	4.0708e − 04	1.9218e − 03	1.182
T/500	1.1400e − 02	3.2679e − 04	1.5368e − 03	1.516
T/1000	8.5497e − 03	1.9788e − 04	7.6855e − 04	2.816
T/1200	8.3671e − 03	1.8535e − 04	6.4073e − 04	3.435
T/1400	8.2355e − 03	1.7903e − 04	5.4948e − 04	3.848
T/1600	8.1384e − 03	1.7590e − 04	4.8106e − 04	4.425
Method in [29]
T/52	2.8968e − 01	—	1.5200	0.648
T/100	6.5144e − 01	—	6.9877e − 01	0.719
T/200	3.2980e − 02	—	3.9927e − 01	0.672
T/300	2.0727e − 02	—	2.5613e − 01	0.693
T/400	1.4262e − 02	—	1.7830e − 01	0.708
T/500	1.0268e − 02	—	1.2943e − 01	0.730
T/1000	2.0059e − 03	—	2.6389e − 02	0.904
T/1200	6.2983e − 03	—	9.0013e − 03	1.233
T/1400	4.2509e − 04	—	4.3458e − 03	1.141
T/1600	1.1913e − 03	—	1.3138e − 02	1.366