Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation

Table 1

The parameter values for common example.

Schemes		Max. error	Aver. error	CPU time	Conv. rate
The scheme in Ref. [26] (uniform)	16		—	1000	—
	32		—	1344	2.30
	64		—	6766	3.44
	128			61328	4.17
The scheme in Ref. [26] (nonuniform)	16		—	844	—
	32		—	1625	3.34
	64		—	11188	4.25
	128		—	135344	4.00
The scheme in Ref. [27] (uniform)	16			47	—
	32			172	5.0033
	64			702	3.7166
	128			2948	3.9106
	256			11794	3.9714
The scheme in Ref. [27] (nonuniform)	16			358	—
	32			2855	7.9861
	64			14914	4.1824
	128			35006	4.1964
	256			165969	4.7029
The proposed scheme (uniform)	16			78	—
	32			297	4.9902
	64			1217	3.7138
	128			5148	3.9110
	256			20951	4.0348
The proposed scheme (nonuniform)	16			421	—
	32			1857	7.9849
	64			6911	4.1847
	128			24585	4.1964
	256			131243	4.7029