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

Table 8

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

x	T	Present method	ADM [2–4]	VIM [6, 7]	DTM [39]	LDM [40]
0.1	0.05	1.1189E − 007	1.3634E − 007	1.3608E − 007	1.3608E − 007	1.3607E − 007
	0.10	1.6373E − 007	2.7243E − 007	2.7216E − 007	2.7216E − 007	2.7215E − 007
	1	2.4465E − 007	2.7220E − 006	2.7215E − 006	2.7215E − 006	2.7215E − 006
0.5	0.05	2.5319E − 007	1.3733E − 007	1.3608E − 007	1.3608E − 007	1.3607E − 007
	0.10	4.2041E − 007	2.7345E − 007	2.7216E − 007	2.7216E − 007	2.7216E − 007
	1	6.8253E − 007	2.7230E − 006	2.7215E − 006	2.7215E − 006	2.7215E − 006
0.9	0.05	1.1199E − 007	1.3838E − 007	1.3608E − 007	1.3608E − 007	1.3607E − 007
	0.10	1.6392E − 007	2.7447E − 007	2.7216E − 007	2.7216E − 007	2.7215E − 007
	1	2.4500E − 007	2.7240E − 006	2.7215E − 006	2.7215E − 006	2.7215E − 006
CPU-time (present method)	0.05	0.0585 s	—	—	—	—
	0.10	0.0793 s	—	—	—	—
	1	0.1021 s	—	—	—	—