The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations

Table 5

Comparisons by the maximum errors to Example 1 for h = 1/25 (i.e., K = 4).

Methods	r	t = 0.2	t = 0.4	t = 0.6	t = 0.8
Algorithm 1	0.63	2.2660e − 4	3.0852e − 4	3.8124e − 4	4.6627e − 4
ASC-N scheme [3]		2.8997e − 4	4.3826e − 4	6.5392e − 4	9.7553e − 4
C-N scheme		2.2632e − 4	3.0324e − 4	3.7834e − 4	4.5342e − 4
Algorithm 1	0.94	3.0760e − 4	4.1963e − 4	5.1826e − 4	6.3353e − 4
ASC-N scheme [3]		4.5949e − 4	6.9190e − 4	8.3264e − 4	1.5416e − 3
C-N scheme		3.0642e − 4	4.1823e − 4	5.1654e − 4	6.1278e − 4
Algorithm 1	1.35	3.8737e − 4	5.2761e − 4	6.5199e − 4	7.9740e − 4
ASC-N scheme [3]		4.2810e − 4	6.4710e − 4	9.6552e − 4	1.4404e − 3
C-N scheme		3.8535e − 4	5.2252e − 4	6.4721e − 4	7.7627e − 4
Algorithm 1	1.76	4.6541e − 4	6.3397e − 4	7.8343e − 4	9.5815e − 4
ASC-N scheme [3]		4.6674e − 4	7.0553e − 4	1.0527e − 3	1.5704e − 3
C-N scheme		4.5121e − 4	6.2937e − 4	7.6320e − 4	9.3729e − 4