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

Table 9

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

x	T	Present method	ADM [2–4]	VIM [6, 7]	DTM [39]	LDM [40]
0.1	0.05	1.2376E − 014	2E − 014	2E − 014	2E − 014	1.87E − 014
	0.10	1.8241E − 014	4E − 014	3E − 014	3E − 014	3.74E − 014
	1	2.7405E − 014	3.7E − 014	3.7E − 013	3.7E − 013	3.74E − 014
0.5	0.05	2.8836E − 014	2E − 014	2E − 014	2E − 014	1.87E − 014
	0.10	4.7758E − 014	4E − 014	3E − 014	3E − 014	3.74E − 014
	1	7.7411E − 014	3.7E − 013	3.7E − 013	3.7E − 013	3.74E − 014
0.9	0.05	1.2376E − 014	2E − 014	2E − 014	2E − 014	1.87E − 014
	0.10	1.8241E − 014	4E − 014	3E − 014	3E − 014	3.74E − 014
	1	2.7405E − 014	3.7E − 013	3.7E − 013	3.7E − 013	3.74E − 014
CPU-time (present method)	0.05	0.0693 s	—	—	—	—
	0.10	0.0724 s	—	—	—	—
	1	0.1028 s	—	—	—	—