A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation

Table 1

Comparison of numerical solutions and the analytic solution.

	Analytic solution	Implicit scheme solution	PASE-I scheme solution	PASI-E scheme solution
0.1018	0.467835	0.467835	0.467834	0.467834
0.2016	0.466592	0.466593	0.466592	0.466592
0.3014	0.465351	0.465354	0.465352	0.465352
0.4012	0.464109	0.464117	0.464115	0.464115
0.5010	0.462869	0.462882	0.462879	0.462879
0.6008	0.461628	0.461647	0.461645	0.461645
0.7006	0.460388	0.460412	0.460410	0.460410
0.8004	0.459149	0.459173	0.459171	0.459171
0.9002	0.457910	0.457927	0.457927	0.457927
1.0000	0.456671	0.456671	0.456671	0.456671