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

Table 13

Comparison of absolute error at grid points with different schemes taking and .

x	T	Present method	ADM [2–4]	VIM [6, 7]	DTM [39]	FD6 [37]
0.1	0.05	1.12377E − 008	1.87406E − 008	1.87405E − 008	1.87406E − 008	1.8740E − 008
	0.10	1.8242E − 008	3.74812E − 008	3.74813E − 008	3.74813E − 008	3.7481E − 008
	1	2.7410E − 008	3.74812E − 007	3.74812E − 007	3.74812E − 007	3.7481E − 007
0.5	0.05	2.8838E − 008	1.87406E − 008	1.87405E − 008	1.87406E − 008	1.8739E − 008
	0.10	4.7761E − 008	3.74812E − 008	3.74813E − 008	3.74813E − 008	3.7473E − 008
	1	7.7424E − 008	3.74812E − 007	3.74813E − 007	3.74813E − 007	3.7210E − 007
0.9	0.05	1.2379E − 008	1.87406E − 008	1.87405E − 008	1.87406E − 008	1.8725E − 008
	0.10	1.8243E − 008	3.74812E − 008	3.74813E − 008	3.74813E − 008	3.7418E − 008
	1	2.7411E − 008	3.74812E − 007	3.74813E − 007	3.74812E − 007	3.6842E − 007
CPU-time	0.05	0.0548 s	—	—	—	—
	0.10	0.0799 s	—	—	—	—
	1	0.1035 s	—	—	—	—