Numerical Solution of Burgers–Huxley Equation Using a Higher Order Collocation Method

Table 1

Absolute error comparison of the present scheme with different schemes for , , .

x		Present method	Bratsos [37]	[17]
0.1	0.05	1.4431E − 008	2.4987E − 008	1.0299E − 008
	0.10	2.1405E − 008	4.9975E − 008	1.5023E − 008
	1	3.2318E − 008	4.9975E − 007	2.2487E − 008
0.5	0.05	3.4513E − 008	2.4987E − 008	2.3131E − 008
	0.10	5.7034E − 008	4.9975E − 008	3.8436E − 008
	1	9.2342E − 008	4.9974E − 007	6.2465E − 008
0.9	0.05	2.4987E − 008	2.4987E − 008	1.0299E − 008
	0.10	2.1405E − 008	4.9974E − 008	1.5023E − 008
	1	3.2316E − 008	4.9974E − 007	2.2487E − 008
CPU-time	0.05	0.0617 s	—	—
	0.10	0.0778 s	—	—
	1	0.0845 s	—	—